xref: /petsc/src/mat/impls/aij/seq/aij.c (revision 2d033e1fe096f11e11b9bec3b697499293687b30)
1 
2 /*
3     Defines the basic matrix operations for the AIJ (compressed row)
4   matrix storage format.
5 */
6 
7 
8 #include <../src/mat/impls/aij/seq/aij.h>          /*I "petscmat.h" I*/
9 #include <petscblaslapack.h>
10 #include <petscbt.h>
11 #include <petsc/private/kernels/blocktranspose.h>
12 
13 PetscErrorCode MatSeqAIJSetTypeFromOptions(Mat A)
14 {
15   PetscErrorCode       ierr;
16   PetscBool            flg;
17   char                 type[256];
18 
19   PetscFunctionBegin;
20   ierr = PetscObjectOptionsBegin((PetscObject)A);
21   ierr = PetscOptionsFList("-mat_seqaij_type","Matrix SeqAIJ type","MatSeqAIJSetType",MatSeqAIJList,"seqaij",type,256,&flg);CHKERRQ(ierr);
22   if (flg) {
23     ierr = MatSeqAIJSetType(A,type);CHKERRQ(ierr);
24   }
25   ierr = PetscOptionsEnd();CHKERRQ(ierr);
26   PetscFunctionReturn(0);
27 }
28 
29 PetscErrorCode MatGetColumnNorms_SeqAIJ(Mat A,NormType type,PetscReal *norms)
30 {
31   PetscErrorCode ierr;
32   PetscInt       i,m,n;
33   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)A->data;
34 
35   PetscFunctionBegin;
36   ierr = MatGetSize(A,&m,&n);CHKERRQ(ierr);
37   ierr = PetscMemzero(norms,n*sizeof(PetscReal));CHKERRQ(ierr);
38   if (type == NORM_2) {
39     for (i=0; i<aij->i[m]; i++) {
40       norms[aij->j[i]] += PetscAbsScalar(aij->a[i]*aij->a[i]);
41     }
42   } else if (type == NORM_1) {
43     for (i=0; i<aij->i[m]; i++) {
44       norms[aij->j[i]] += PetscAbsScalar(aij->a[i]);
45     }
46   } else if (type == NORM_INFINITY) {
47     for (i=0; i<aij->i[m]; i++) {
48       norms[aij->j[i]] = PetscMax(PetscAbsScalar(aij->a[i]),norms[aij->j[i]]);
49     }
50   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Unknown NormType");
51 
52   if (type == NORM_2) {
53     for (i=0; i<n; i++) norms[i] = PetscSqrtReal(norms[i]);
54   }
55   PetscFunctionReturn(0);
56 }
57 
58 PetscErrorCode MatFindOffBlockDiagonalEntries_SeqAIJ(Mat A,IS *is)
59 {
60   Mat_SeqAIJ      *a  = (Mat_SeqAIJ*)A->data;
61   PetscInt        i,m=A->rmap->n,cnt = 0, bs = A->rmap->bs;
62   const PetscInt  *jj = a->j,*ii = a->i;
63   PetscInt        *rows;
64   PetscErrorCode  ierr;
65 
66   PetscFunctionBegin;
67   for (i=0; i<m; i++) {
68     if ((ii[i] != ii[i+1]) && ((jj[ii[i]] < bs*(i/bs)) || (jj[ii[i+1]-1] > bs*((i+bs)/bs)-1))) {
69       cnt++;
70     }
71   }
72   ierr = PetscMalloc1(cnt,&rows);CHKERRQ(ierr);
73   cnt  = 0;
74   for (i=0; i<m; i++) {
75     if ((ii[i] != ii[i+1]) && ((jj[ii[i]] < bs*(i/bs)) || (jj[ii[i+1]-1] > bs*((i+bs)/bs)-1))) {
76       rows[cnt] = i;
77       cnt++;
78     }
79   }
80   ierr = ISCreateGeneral(PETSC_COMM_SELF,cnt,rows,PETSC_OWN_POINTER,is);CHKERRQ(ierr);
81   PetscFunctionReturn(0);
82 }
83 
84 PetscErrorCode MatFindZeroDiagonals_SeqAIJ_Private(Mat A,PetscInt *nrows,PetscInt **zrows)
85 {
86   Mat_SeqAIJ      *a  = (Mat_SeqAIJ*)A->data;
87   const MatScalar *aa = a->a;
88   PetscInt        i,m=A->rmap->n,cnt = 0;
89   const PetscInt  *ii = a->i,*jj = a->j,*diag;
90   PetscInt        *rows;
91   PetscErrorCode  ierr;
92 
93   PetscFunctionBegin;
94   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
95   diag = a->diag;
96   for (i=0; i<m; i++) {
97     if ((diag[i] >= ii[i+1]) || (jj[diag[i]] != i) || (aa[diag[i]] == 0.0)) {
98       cnt++;
99     }
100   }
101   ierr = PetscMalloc1(cnt,&rows);CHKERRQ(ierr);
102   cnt  = 0;
103   for (i=0; i<m; i++) {
104     if ((diag[i] >= ii[i+1]) || (jj[diag[i]] != i) || (aa[diag[i]] == 0.0)) {
105       rows[cnt++] = i;
106     }
107   }
108   *nrows = cnt;
109   *zrows = rows;
110   PetscFunctionReturn(0);
111 }
112 
113 PetscErrorCode MatFindZeroDiagonals_SeqAIJ(Mat A,IS *zrows)
114 {
115   PetscInt       nrows,*rows;
116   PetscErrorCode ierr;
117 
118   PetscFunctionBegin;
119   *zrows = NULL;
120   ierr   = MatFindZeroDiagonals_SeqAIJ_Private(A,&nrows,&rows);CHKERRQ(ierr);
121   ierr   = ISCreateGeneral(PetscObjectComm((PetscObject)A),nrows,rows,PETSC_OWN_POINTER,zrows);CHKERRQ(ierr);
122   PetscFunctionReturn(0);
123 }
124 
125 PetscErrorCode MatFindNonzeroRows_SeqAIJ(Mat A,IS *keptrows)
126 {
127   Mat_SeqAIJ      *a = (Mat_SeqAIJ*)A->data;
128   const MatScalar *aa;
129   PetscInt        m=A->rmap->n,cnt = 0;
130   const PetscInt  *ii;
131   PetscInt        n,i,j,*rows;
132   PetscErrorCode  ierr;
133 
134   PetscFunctionBegin;
135   *keptrows = 0;
136   ii        = a->i;
137   for (i=0; i<m; i++) {
138     n = ii[i+1] - ii[i];
139     if (!n) {
140       cnt++;
141       goto ok1;
142     }
143     aa = a->a + ii[i];
144     for (j=0; j<n; j++) {
145       if (aa[j] != 0.0) goto ok1;
146     }
147     cnt++;
148 ok1:;
149   }
150   if (!cnt) PetscFunctionReturn(0);
151   ierr = PetscMalloc1(A->rmap->n-cnt,&rows);CHKERRQ(ierr);
152   cnt  = 0;
153   for (i=0; i<m; i++) {
154     n = ii[i+1] - ii[i];
155     if (!n) continue;
156     aa = a->a + ii[i];
157     for (j=0; j<n; j++) {
158       if (aa[j] != 0.0) {
159         rows[cnt++] = i;
160         break;
161       }
162     }
163   }
164   ierr = ISCreateGeneral(PETSC_COMM_SELF,cnt,rows,PETSC_OWN_POINTER,keptrows);CHKERRQ(ierr);
165   PetscFunctionReturn(0);
166 }
167 
168 PetscErrorCode  MatDiagonalSet_SeqAIJ(Mat Y,Vec D,InsertMode is)
169 {
170   PetscErrorCode    ierr;
171   Mat_SeqAIJ        *aij = (Mat_SeqAIJ*) Y->data;
172   PetscInt          i,m = Y->rmap->n;
173   const PetscInt    *diag;
174   MatScalar         *aa = aij->a;
175   const PetscScalar *v;
176   PetscBool         missing;
177 
178   PetscFunctionBegin;
179   if (Y->assembled) {
180     ierr = MatMissingDiagonal_SeqAIJ(Y,&missing,NULL);CHKERRQ(ierr);
181     if (!missing) {
182       diag = aij->diag;
183       ierr = VecGetArrayRead(D,&v);CHKERRQ(ierr);
184       if (is == INSERT_VALUES) {
185         for (i=0; i<m; i++) {
186           aa[diag[i]] = v[i];
187         }
188       } else {
189         for (i=0; i<m; i++) {
190           aa[diag[i]] += v[i];
191         }
192       }
193       ierr = VecRestoreArrayRead(D,&v);CHKERRQ(ierr);
194       PetscFunctionReturn(0);
195     }
196     ierr = MatSeqAIJInvalidateDiagonal(Y);CHKERRQ(ierr);
197   }
198   ierr = MatDiagonalSet_Default(Y,D,is);CHKERRQ(ierr);
199   PetscFunctionReturn(0);
200 }
201 
202 PetscErrorCode MatGetRowIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *m,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
203 {
204   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
205   PetscErrorCode ierr;
206   PetscInt       i,ishift;
207 
208   PetscFunctionBegin;
209   *m = A->rmap->n;
210   if (!ia) PetscFunctionReturn(0);
211   ishift = 0;
212   if (symmetric && !A->structurally_symmetric) {
213     ierr = MatToSymmetricIJ_SeqAIJ(A->rmap->n,a->i,a->j,PETSC_TRUE,ishift,oshift,(PetscInt**)ia,(PetscInt**)ja);CHKERRQ(ierr);
214   } else if (oshift == 1) {
215     PetscInt *tia;
216     PetscInt nz = a->i[A->rmap->n];
217     /* malloc space and  add 1 to i and j indices */
218     ierr = PetscMalloc1(A->rmap->n+1,&tia);CHKERRQ(ierr);
219     for (i=0; i<A->rmap->n+1; i++) tia[i] = a->i[i] + 1;
220     *ia = tia;
221     if (ja) {
222       PetscInt *tja;
223       ierr = PetscMalloc1(nz+1,&tja);CHKERRQ(ierr);
224       for (i=0; i<nz; i++) tja[i] = a->j[i] + 1;
225       *ja = tja;
226     }
227   } else {
228     *ia = a->i;
229     if (ja) *ja = a->j;
230   }
231   PetscFunctionReturn(0);
232 }
233 
234 PetscErrorCode MatRestoreRowIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
235 {
236   PetscErrorCode ierr;
237 
238   PetscFunctionBegin;
239   if (!ia) PetscFunctionReturn(0);
240   if ((symmetric && !A->structurally_symmetric) || oshift == 1) {
241     ierr = PetscFree(*ia);CHKERRQ(ierr);
242     if (ja) {ierr = PetscFree(*ja);CHKERRQ(ierr);}
243   }
244   PetscFunctionReturn(0);
245 }
246 
247 PetscErrorCode MatGetColumnIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *nn,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
248 {
249   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
250   PetscErrorCode ierr;
251   PetscInt       i,*collengths,*cia,*cja,n = A->cmap->n,m = A->rmap->n;
252   PetscInt       nz = a->i[m],row,*jj,mr,col;
253 
254   PetscFunctionBegin;
255   *nn = n;
256   if (!ia) PetscFunctionReturn(0);
257   if (symmetric) {
258     ierr = MatToSymmetricIJ_SeqAIJ(A->rmap->n,a->i,a->j,PETSC_TRUE,0,oshift,(PetscInt**)ia,(PetscInt**)ja);CHKERRQ(ierr);
259   } else {
260     ierr = PetscCalloc1(n+1,&collengths);CHKERRQ(ierr);
261     ierr = PetscMalloc1(n+1,&cia);CHKERRQ(ierr);
262     ierr = PetscMalloc1(nz+1,&cja);CHKERRQ(ierr);
263     jj   = a->j;
264     for (i=0; i<nz; i++) {
265       collengths[jj[i]]++;
266     }
267     cia[0] = oshift;
268     for (i=0; i<n; i++) {
269       cia[i+1] = cia[i] + collengths[i];
270     }
271     ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
272     jj   = a->j;
273     for (row=0; row<m; row++) {
274       mr = a->i[row+1] - a->i[row];
275       for (i=0; i<mr; i++) {
276         col = *jj++;
277 
278         cja[cia[col] + collengths[col]++ - oshift] = row + oshift;
279       }
280     }
281     ierr = PetscFree(collengths);CHKERRQ(ierr);
282     *ia  = cia; *ja = cja;
283   }
284   PetscFunctionReturn(0);
285 }
286 
287 PetscErrorCode MatRestoreColumnIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
288 {
289   PetscErrorCode ierr;
290 
291   PetscFunctionBegin;
292   if (!ia) PetscFunctionReturn(0);
293 
294   ierr = PetscFree(*ia);CHKERRQ(ierr);
295   ierr = PetscFree(*ja);CHKERRQ(ierr);
296   PetscFunctionReturn(0);
297 }
298 
299 /*
300  MatGetColumnIJ_SeqAIJ_Color() and MatRestoreColumnIJ_SeqAIJ_Color() are customized from
301  MatGetColumnIJ_SeqAIJ() and MatRestoreColumnIJ_SeqAIJ() by adding an output
302  spidx[], index of a->a, to be used in MatTransposeColoringCreate_SeqAIJ() and MatFDColoringCreate_SeqXAIJ()
303 */
304 PetscErrorCode MatGetColumnIJ_SeqAIJ_Color(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *nn,const PetscInt *ia[],const PetscInt *ja[],PetscInt *spidx[],PetscBool  *done)
305 {
306   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
307   PetscErrorCode ierr;
308   PetscInt       i,*collengths,*cia,*cja,n = A->cmap->n,m = A->rmap->n;
309   PetscInt       nz = a->i[m],row,*jj,mr,col;
310   PetscInt       *cspidx;
311 
312   PetscFunctionBegin;
313   *nn = n;
314   if (!ia) PetscFunctionReturn(0);
315 
316   ierr = PetscCalloc1(n+1,&collengths);CHKERRQ(ierr);
317   ierr = PetscMalloc1(n+1,&cia);CHKERRQ(ierr);
318   ierr = PetscMalloc1(nz+1,&cja);CHKERRQ(ierr);
319   ierr = PetscMalloc1(nz+1,&cspidx);CHKERRQ(ierr);
320   jj   = a->j;
321   for (i=0; i<nz; i++) {
322     collengths[jj[i]]++;
323   }
324   cia[0] = oshift;
325   for (i=0; i<n; i++) {
326     cia[i+1] = cia[i] + collengths[i];
327   }
328   ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
329   jj   = a->j;
330   for (row=0; row<m; row++) {
331     mr = a->i[row+1] - a->i[row];
332     for (i=0; i<mr; i++) {
333       col = *jj++;
334       cspidx[cia[col] + collengths[col] - oshift] = a->i[row] + i; /* index of a->j */
335       cja[cia[col] + collengths[col]++ - oshift]  = row + oshift;
336     }
337   }
338   ierr   = PetscFree(collengths);CHKERRQ(ierr);
339   *ia    = cia; *ja = cja;
340   *spidx = cspidx;
341   PetscFunctionReturn(0);
342 }
343 
344 PetscErrorCode MatRestoreColumnIJ_SeqAIJ_Color(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscInt *spidx[],PetscBool  *done)
345 {
346   PetscErrorCode ierr;
347 
348   PetscFunctionBegin;
349   ierr = MatRestoreColumnIJ_SeqAIJ(A,oshift,symmetric,inodecompressed,n,ia,ja,done);CHKERRQ(ierr);
350   ierr = PetscFree(*spidx);CHKERRQ(ierr);
351   PetscFunctionReturn(0);
352 }
353 
354 PetscErrorCode MatSetValuesRow_SeqAIJ(Mat A,PetscInt row,const PetscScalar v[])
355 {
356   Mat_SeqAIJ     *a  = (Mat_SeqAIJ*)A->data;
357   PetscInt       *ai = a->i;
358   PetscErrorCode ierr;
359 
360   PetscFunctionBegin;
361   ierr = PetscMemcpy(a->a+ai[row],v,(ai[row+1]-ai[row])*sizeof(PetscScalar));CHKERRQ(ierr);
362   PetscFunctionReturn(0);
363 }
364 
365 /*
366     MatSeqAIJSetValuesLocalFast - An optimized version of MatSetValuesLocal() for SeqAIJ matrices with several assumptions
367 
368       -   a single row of values is set with each call
369       -   no row or column indices are negative or (in error) larger than the number of rows or columns
370       -   the values are always added to the matrix, not set
371       -   no new locations are introduced in the nonzero structure of the matrix
372 
373      This does NOT assume the global column indices are sorted
374 
375 */
376 
377 #include <petsc/private/isimpl.h>
378 PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
379 {
380   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
381   PetscInt       low,high,t,row,nrow,i,col,l;
382   const PetscInt *rp,*ai = a->i,*ailen = a->ilen,*aj = a->j;
383   PetscInt       lastcol = -1;
384   MatScalar      *ap,value,*aa = a->a;
385   const PetscInt *ridx = A->rmap->mapping->indices,*cidx = A->cmap->mapping->indices;
386 
387   row = ridx[im[0]];
388   rp   = aj + ai[row];
389   ap = aa + ai[row];
390   nrow = ailen[row];
391   low  = 0;
392   high = nrow;
393   for (l=0; l<n; l++) { /* loop over added columns */
394     col = cidx[in[l]];
395     value = v[l];
396 
397     if (col <= lastcol) low = 0;
398     else high = nrow;
399     lastcol = col;
400     while (high-low > 5) {
401       t = (low+high)/2;
402       if (rp[t] > col) high = t;
403       else low = t;
404     }
405     for (i=low; i<high; i++) {
406       if (rp[i] == col) {
407         ap[i] += value;
408         low = i + 1;
409         break;
410       }
411     }
412   }
413   return 0;
414 }
415 
416 PetscErrorCode MatSetValues_SeqAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
417 {
418   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
419   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N;
420   PetscInt       *imax = a->imax,*ai = a->i,*ailen = a->ilen;
421   PetscErrorCode ierr;
422   PetscInt       *aj = a->j,nonew = a->nonew,lastcol = -1;
423   MatScalar      *ap=NULL,value=0.0,*aa = a->a;
424   PetscBool      ignorezeroentries = a->ignorezeroentries;
425   PetscBool      roworiented       = a->roworiented;
426 
427   PetscFunctionBegin;
428   for (k=0; k<m; k++) { /* loop over added rows */
429     row = im[k];
430     if (row < 0) continue;
431 #if defined(PETSC_USE_DEBUG)
432     if (row >= A->rmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",row,A->rmap->n-1);
433 #endif
434     rp   = aj + ai[row];
435     if (!A->structure_only) ap = aa + ai[row];
436     rmax = imax[row]; nrow = ailen[row];
437     low  = 0;
438     high = nrow;
439     for (l=0; l<n; l++) { /* loop over added columns */
440       if (in[l] < 0) continue;
441 #if defined(PETSC_USE_DEBUG)
442       if (in[l] >= A->cmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",in[l],A->cmap->n-1);
443 #endif
444       col = in[l];
445       if (!A->structure_only) {
446         if (roworiented) {
447           value = v[l + k*n];
448         } else {
449           value = v[k + l*m];
450         }
451       } else { /* A->structure_only */
452         value = 1; /* avoid 'continue' below?  */
453       }
454       if ((value == 0.0 && ignorezeroentries) && (is == ADD_VALUES) && row != col) continue;
455 
456       if (col <= lastcol) low = 0;
457       else high = nrow;
458       lastcol = col;
459       while (high-low > 5) {
460         t = (low+high)/2;
461         if (rp[t] > col) high = t;
462         else low = t;
463       }
464       for (i=low; i<high; i++) {
465         if (rp[i] > col) break;
466         if (rp[i] == col) {
467           if (!A->structure_only) {
468             if (is == ADD_VALUES) ap[i] += value;
469             else ap[i] = value;
470           }
471           low = i + 1;
472           goto noinsert;
473         }
474       }
475       if (value == 0.0 && ignorezeroentries && row != col) goto noinsert;
476       if (nonew == 1) goto noinsert;
477       if (nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero at (%D,%D) in the matrix",row,col);
478       if (A->structure_only) {
479         MatSeqXAIJReallocateAIJ_structure_only(A,A->rmap->n,1,nrow,row,col,rmax,ai,aj,rp,imax,nonew,MatScalar);
480       } else {
481         MatSeqXAIJReallocateAIJ(A,A->rmap->n,1,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
482       }
483       N = nrow++ - 1; a->nz++; high++;
484       /* shift up all the later entries in this row */
485       for (ii=N; ii>=i; ii--) {
486         rp[ii+1] = rp[ii];
487         if (!A->structure_only) ap[ii+1] = ap[ii];
488       }
489       rp[i] = col;
490       if (!A->structure_only) ap[i] = value;
491       low   = i + 1;
492       A->nonzerostate++;
493 noinsert:;
494     }
495     ailen[row] = nrow;
496   }
497   PetscFunctionReturn(0);
498 }
499 
500 
501 PetscErrorCode MatGetValues_SeqAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],PetscScalar v[])
502 {
503   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
504   PetscInt   *rp,k,low,high,t,row,nrow,i,col,l,*aj = a->j;
505   PetscInt   *ai = a->i,*ailen = a->ilen;
506   MatScalar  *ap,*aa = a->a;
507 
508   PetscFunctionBegin;
509   for (k=0; k<m; k++) { /* loop over rows */
510     row = im[k];
511     if (row < 0) {v += n; continue;} /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",row); */
512     if (row >= A->rmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",row,A->rmap->n-1);
513     rp   = aj + ai[row]; ap = aa + ai[row];
514     nrow = ailen[row];
515     for (l=0; l<n; l++) { /* loop over columns */
516       if (in[l] < 0) {v++; continue;} /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column: %D",in[l]); */
517       if (in[l] >= A->cmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",in[l],A->cmap->n-1);
518       col  = in[l];
519       high = nrow; low = 0; /* assume unsorted */
520       while (high-low > 5) {
521         t = (low+high)/2;
522         if (rp[t] > col) high = t;
523         else low = t;
524       }
525       for (i=low; i<high; i++) {
526         if (rp[i] > col) break;
527         if (rp[i] == col) {
528           *v++ = ap[i];
529           goto finished;
530         }
531       }
532       *v++ = 0.0;
533 finished:;
534     }
535   }
536   PetscFunctionReturn(0);
537 }
538 
539 
540 PetscErrorCode MatView_SeqAIJ_Binary(Mat A,PetscViewer viewer)
541 {
542   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
543   PetscErrorCode ierr;
544   PetscInt       i,*col_lens;
545   int            fd;
546   FILE           *file;
547 
548   PetscFunctionBegin;
549   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
550   ierr = PetscMalloc1(4+A->rmap->n,&col_lens);CHKERRQ(ierr);
551 
552   col_lens[0] = MAT_FILE_CLASSID;
553   col_lens[1] = A->rmap->n;
554   col_lens[2] = A->cmap->n;
555   col_lens[3] = a->nz;
556 
557   /* store lengths of each row and write (including header) to file */
558   for (i=0; i<A->rmap->n; i++) {
559     col_lens[4+i] = a->i[i+1] - a->i[i];
560   }
561   ierr = PetscBinaryWrite(fd,col_lens,4+A->rmap->n,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
562   ierr = PetscFree(col_lens);CHKERRQ(ierr);
563 
564   /* store column indices (zero start index) */
565   ierr = PetscBinaryWrite(fd,a->j,a->nz,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
566 
567   /* store nonzero values */
568   ierr = PetscBinaryWrite(fd,a->a,a->nz,PETSC_SCALAR,PETSC_FALSE);CHKERRQ(ierr);
569 
570   ierr = PetscViewerBinaryGetInfoPointer(viewer,&file);CHKERRQ(ierr);
571   if (file) {
572     fprintf(file,"-matload_block_size %d\n",(int)PetscAbs(A->rmap->bs));
573   }
574   PetscFunctionReturn(0);
575 }
576 
577 static PetscErrorCode MatView_SeqAIJ_ASCII_structonly(Mat A,PetscViewer viewer)
578 {
579   PetscErrorCode ierr;
580   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
581   PetscInt       i,k,m=A->rmap->N;
582 
583   PetscFunctionBegin;
584   ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
585   for (i=0; i<m; i++) {
586     ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
587     for (k=a->i[i]; k<a->i[i+1]; k++) {
588       ierr = PetscViewerASCIIPrintf(viewer," (%D) ",a->j[k]);CHKERRQ(ierr);
589     }
590     ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
591   }
592   ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
593   PetscFunctionReturn(0);
594 }
595 
596 extern PetscErrorCode MatSeqAIJFactorInfo_Matlab(Mat,PetscViewer);
597 
598 PetscErrorCode MatView_SeqAIJ_ASCII(Mat A,PetscViewer viewer)
599 {
600   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
601   PetscErrorCode    ierr;
602   PetscInt          i,j,m = A->rmap->n;
603   const char        *name;
604   PetscViewerFormat format;
605 
606   PetscFunctionBegin;
607   if (A->structure_only) {
608     ierr = MatView_SeqAIJ_ASCII_structonly(A,viewer);CHKERRQ(ierr);
609     PetscFunctionReturn(0);
610   }
611 
612   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
613   if (format == PETSC_VIEWER_ASCII_MATLAB) {
614     PetscInt nofinalvalue = 0;
615     if (m && ((a->i[m] == a->i[m-1]) || (a->j[a->nz-1] != A->cmap->n-1))) {
616       /* Need a dummy value to ensure the dimension of the matrix. */
617       nofinalvalue = 1;
618     }
619     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
620     ierr = PetscViewerASCIIPrintf(viewer,"%% Size = %D %D \n",m,A->cmap->n);CHKERRQ(ierr);
621     ierr = PetscViewerASCIIPrintf(viewer,"%% Nonzeros = %D \n",a->nz);CHKERRQ(ierr);
622 #if defined(PETSC_USE_COMPLEX)
623     ierr = PetscViewerASCIIPrintf(viewer,"zzz = zeros(%D,4);\n",a->nz+nofinalvalue);CHKERRQ(ierr);
624 #else
625     ierr = PetscViewerASCIIPrintf(viewer,"zzz = zeros(%D,3);\n",a->nz+nofinalvalue);CHKERRQ(ierr);
626 #endif
627     ierr = PetscViewerASCIIPrintf(viewer,"zzz = [\n");CHKERRQ(ierr);
628 
629     for (i=0; i<m; i++) {
630       for (j=a->i[i]; j<a->i[i+1]; j++) {
631 #if defined(PETSC_USE_COMPLEX)
632         ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e %18.16e\n",i+1,a->j[j]+1,(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
633 #else
634         ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e\n",i+1,a->j[j]+1,(double)a->a[j]);CHKERRQ(ierr);
635 #endif
636       }
637     }
638     if (nofinalvalue) {
639 #if defined(PETSC_USE_COMPLEX)
640       ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e %18.16e\n",m,A->cmap->n,0.,0.);CHKERRQ(ierr);
641 #else
642       ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e\n",m,A->cmap->n,0.0);CHKERRQ(ierr);
643 #endif
644     }
645     ierr = PetscObjectGetName((PetscObject)A,&name);CHKERRQ(ierr);
646     ierr = PetscViewerASCIIPrintf(viewer,"];\n %s = spconvert(zzz);\n",name);CHKERRQ(ierr);
647     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
648   } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO || format == PETSC_VIEWER_ASCII_INFO) {
649     PetscFunctionReturn(0);
650   } else if (format == PETSC_VIEWER_ASCII_COMMON) {
651     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
652     for (i=0; i<m; i++) {
653       ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
654       for (j=a->i[i]; j<a->i[i+1]; j++) {
655 #if defined(PETSC_USE_COMPLEX)
656         if (PetscImaginaryPart(a->a[j]) > 0.0 && PetscRealPart(a->a[j]) != 0.0) {
657           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
658         } else if (PetscImaginaryPart(a->a[j]) < 0.0 && PetscRealPart(a->a[j]) != 0.0) {
659           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
660         } else if (PetscRealPart(a->a[j]) != 0.0) {
661           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)PetscRealPart(a->a[j]));CHKERRQ(ierr);
662         }
663 #else
664         if (a->a[j] != 0.0) {ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)a->a[j]);CHKERRQ(ierr);}
665 #endif
666       }
667       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
668     }
669     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
670   } else if (format == PETSC_VIEWER_ASCII_SYMMODU) {
671     PetscInt nzd=0,fshift=1,*sptr;
672     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
673     ierr = PetscMalloc1(m+1,&sptr);CHKERRQ(ierr);
674     for (i=0; i<m; i++) {
675       sptr[i] = nzd+1;
676       for (j=a->i[i]; j<a->i[i+1]; j++) {
677         if (a->j[j] >= i) {
678 #if defined(PETSC_USE_COMPLEX)
679           if (PetscImaginaryPart(a->a[j]) != 0.0 || PetscRealPart(a->a[j]) != 0.0) nzd++;
680 #else
681           if (a->a[j] != 0.0) nzd++;
682 #endif
683         }
684       }
685     }
686     sptr[m] = nzd+1;
687     ierr    = PetscViewerASCIIPrintf(viewer," %D %D\n\n",m,nzd);CHKERRQ(ierr);
688     for (i=0; i<m+1; i+=6) {
689       if (i+4<m) {
690         ierr = PetscViewerASCIIPrintf(viewer," %D %D %D %D %D %D\n",sptr[i],sptr[i+1],sptr[i+2],sptr[i+3],sptr[i+4],sptr[i+5]);CHKERRQ(ierr);
691       } else if (i+3<m) {
692         ierr = PetscViewerASCIIPrintf(viewer," %D %D %D %D %D\n",sptr[i],sptr[i+1],sptr[i+2],sptr[i+3],sptr[i+4]);CHKERRQ(ierr);
693       } else if (i+2<m) {
694         ierr = PetscViewerASCIIPrintf(viewer," %D %D %D %D\n",sptr[i],sptr[i+1],sptr[i+2],sptr[i+3]);CHKERRQ(ierr);
695       } else if (i+1<m) {
696         ierr = PetscViewerASCIIPrintf(viewer," %D %D %D\n",sptr[i],sptr[i+1],sptr[i+2]);CHKERRQ(ierr);
697       } else if (i<m) {
698         ierr = PetscViewerASCIIPrintf(viewer," %D %D\n",sptr[i],sptr[i+1]);CHKERRQ(ierr);
699       } else {
700         ierr = PetscViewerASCIIPrintf(viewer," %D\n",sptr[i]);CHKERRQ(ierr);
701       }
702     }
703     ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
704     ierr = PetscFree(sptr);CHKERRQ(ierr);
705     for (i=0; i<m; i++) {
706       for (j=a->i[i]; j<a->i[i+1]; j++) {
707         if (a->j[j] >= i) {ierr = PetscViewerASCIIPrintf(viewer," %D ",a->j[j]+fshift);CHKERRQ(ierr);}
708       }
709       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
710     }
711     ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
712     for (i=0; i<m; i++) {
713       for (j=a->i[i]; j<a->i[i+1]; j++) {
714         if (a->j[j] >= i) {
715 #if defined(PETSC_USE_COMPLEX)
716           if (PetscImaginaryPart(a->a[j]) != 0.0 || PetscRealPart(a->a[j]) != 0.0) {
717             ierr = PetscViewerASCIIPrintf(viewer," %18.16e %18.16e ",(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
718           }
719 #else
720           if (a->a[j] != 0.0) {ierr = PetscViewerASCIIPrintf(viewer," %18.16e ",(double)a->a[j]);CHKERRQ(ierr);}
721 #endif
722         }
723       }
724       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
725     }
726     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
727   } else if (format == PETSC_VIEWER_ASCII_DENSE) {
728     PetscInt    cnt = 0,jcnt;
729     PetscScalar value;
730 #if defined(PETSC_USE_COMPLEX)
731     PetscBool   realonly = PETSC_TRUE;
732 
733     for (i=0; i<a->i[m]; i++) {
734       if (PetscImaginaryPart(a->a[i]) != 0.0) {
735         realonly = PETSC_FALSE;
736         break;
737       }
738     }
739 #endif
740 
741     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
742     for (i=0; i<m; i++) {
743       jcnt = 0;
744       for (j=0; j<A->cmap->n; j++) {
745         if (jcnt < a->i[i+1]-a->i[i] && j == a->j[cnt]) {
746           value = a->a[cnt++];
747           jcnt++;
748         } else {
749           value = 0.0;
750         }
751 #if defined(PETSC_USE_COMPLEX)
752         if (realonly) {
753           ierr = PetscViewerASCIIPrintf(viewer," %7.5e ",(double)PetscRealPart(value));CHKERRQ(ierr);
754         } else {
755           ierr = PetscViewerASCIIPrintf(viewer," %7.5e+%7.5e i ",(double)PetscRealPart(value),(double)PetscImaginaryPart(value));CHKERRQ(ierr);
756         }
757 #else
758         ierr = PetscViewerASCIIPrintf(viewer," %7.5e ",(double)value);CHKERRQ(ierr);
759 #endif
760       }
761       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
762     }
763     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
764   } else if (format == PETSC_VIEWER_ASCII_MATRIXMARKET) {
765     PetscInt fshift=1;
766     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
767 #if defined(PETSC_USE_COMPLEX)
768     ierr = PetscViewerASCIIPrintf(viewer,"%%%%MatrixMarket matrix coordinate complex general\n");CHKERRQ(ierr);
769 #else
770     ierr = PetscViewerASCIIPrintf(viewer,"%%%%MatrixMarket matrix coordinate real general\n");CHKERRQ(ierr);
771 #endif
772     ierr = PetscViewerASCIIPrintf(viewer,"%D %D %D\n", m, A->cmap->n, a->nz);CHKERRQ(ierr);
773     for (i=0; i<m; i++) {
774       for (j=a->i[i]; j<a->i[i+1]; j++) {
775 #if defined(PETSC_USE_COMPLEX)
776         ierr = PetscViewerASCIIPrintf(viewer,"%D %D %g %g\n", i+fshift,a->j[j]+fshift,(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
777 #else
778         ierr = PetscViewerASCIIPrintf(viewer,"%D %D %g\n", i+fshift, a->j[j]+fshift, (double)a->a[j]);CHKERRQ(ierr);
779 #endif
780       }
781     }
782     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
783   } else {
784     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
785     if (A->factortype) {
786       for (i=0; i<m; i++) {
787         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
788         /* L part */
789         for (j=a->i[i]; j<a->i[i+1]; j++) {
790 #if defined(PETSC_USE_COMPLEX)
791           if (PetscImaginaryPart(a->a[j]) > 0.0) {
792             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
793           } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
794             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)(-PetscImaginaryPart(a->a[j])));CHKERRQ(ierr);
795           } else {
796             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)PetscRealPart(a->a[j]));CHKERRQ(ierr);
797           }
798 #else
799           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)a->a[j]);CHKERRQ(ierr);
800 #endif
801         }
802         /* diagonal */
803         j = a->diag[i];
804 #if defined(PETSC_USE_COMPLEX)
805         if (PetscImaginaryPart(a->a[j]) > 0.0) {
806           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j],(double)PetscRealPart(1.0/a->a[j]),(double)PetscImaginaryPart(1.0/a->a[j]));CHKERRQ(ierr);
807         } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
808           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j],(double)PetscRealPart(1.0/a->a[j]),(double)(-PetscImaginaryPart(1.0/a->a[j])));CHKERRQ(ierr);
809         } else {
810           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)PetscRealPart(1.0/a->a[j]));CHKERRQ(ierr);
811         }
812 #else
813         ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)(1.0/a->a[j]));CHKERRQ(ierr);
814 #endif
815 
816         /* U part */
817         for (j=a->diag[i+1]+1; j<a->diag[i]; j++) {
818 #if defined(PETSC_USE_COMPLEX)
819           if (PetscImaginaryPart(a->a[j]) > 0.0) {
820             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
821           } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
822             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)(-PetscImaginaryPart(a->a[j])));CHKERRQ(ierr);
823           } else {
824             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)PetscRealPart(a->a[j]));CHKERRQ(ierr);
825           }
826 #else
827           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)a->a[j]);CHKERRQ(ierr);
828 #endif
829         }
830         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
831       }
832     } else {
833       for (i=0; i<m; i++) {
834         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
835         for (j=a->i[i]; j<a->i[i+1]; j++) {
836 #if defined(PETSC_USE_COMPLEX)
837           if (PetscImaginaryPart(a->a[j]) > 0.0) {
838             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
839           } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
840             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
841           } else {
842             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)PetscRealPart(a->a[j]));CHKERRQ(ierr);
843           }
844 #else
845           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)a->a[j]);CHKERRQ(ierr);
846 #endif
847         }
848         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
849       }
850     }
851     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
852   }
853   ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
854   PetscFunctionReturn(0);
855 }
856 
857 #include <petscdraw.h>
858 PetscErrorCode MatView_SeqAIJ_Draw_Zoom(PetscDraw draw,void *Aa)
859 {
860   Mat               A  = (Mat) Aa;
861   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
862   PetscErrorCode    ierr;
863   PetscInt          i,j,m = A->rmap->n;
864   int               color;
865   PetscReal         xl,yl,xr,yr,x_l,x_r,y_l,y_r;
866   PetscViewer       viewer;
867   PetscViewerFormat format;
868 
869   PetscFunctionBegin;
870   ierr = PetscObjectQuery((PetscObject)A,"Zoomviewer",(PetscObject*)&viewer);CHKERRQ(ierr);
871   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
872   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
873 
874   /* loop over matrix elements drawing boxes */
875 
876   if (format != PETSC_VIEWER_DRAW_CONTOUR) {
877     ierr = PetscDrawCollectiveBegin(draw);CHKERRQ(ierr);
878     /* Blue for negative, Cyan for zero and  Red for positive */
879     color = PETSC_DRAW_BLUE;
880     for (i=0; i<m; i++) {
881       y_l = m - i - 1.0; y_r = y_l + 1.0;
882       for (j=a->i[i]; j<a->i[i+1]; j++) {
883         x_l = a->j[j]; x_r = x_l + 1.0;
884         if (PetscRealPart(a->a[j]) >=  0.) continue;
885         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
886       }
887     }
888     color = PETSC_DRAW_CYAN;
889     for (i=0; i<m; i++) {
890       y_l = m - i - 1.0; y_r = y_l + 1.0;
891       for (j=a->i[i]; j<a->i[i+1]; j++) {
892         x_l = a->j[j]; x_r = x_l + 1.0;
893         if (a->a[j] !=  0.) continue;
894         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
895       }
896     }
897     color = PETSC_DRAW_RED;
898     for (i=0; i<m; i++) {
899       y_l = m - i - 1.0; y_r = y_l + 1.0;
900       for (j=a->i[i]; j<a->i[i+1]; j++) {
901         x_l = a->j[j]; x_r = x_l + 1.0;
902         if (PetscRealPart(a->a[j]) <=  0.) continue;
903         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
904       }
905     }
906     ierr = PetscDrawCollectiveEnd(draw);CHKERRQ(ierr);
907   } else {
908     /* use contour shading to indicate magnitude of values */
909     /* first determine max of all nonzero values */
910     PetscReal minv = 0.0, maxv = 0.0;
911     PetscInt  nz = a->nz, count = 0;
912     PetscDraw popup;
913 
914     for (i=0; i<nz; i++) {
915       if (PetscAbsScalar(a->a[i]) > maxv) maxv = PetscAbsScalar(a->a[i]);
916     }
917     if (minv >= maxv) maxv = minv + PETSC_SMALL;
918     ierr = PetscDrawGetPopup(draw,&popup);CHKERRQ(ierr);
919     ierr = PetscDrawScalePopup(popup,minv,maxv);CHKERRQ(ierr);
920 
921     ierr = PetscDrawCollectiveBegin(draw);CHKERRQ(ierr);
922     for (i=0; i<m; i++) {
923       y_l = m - i - 1.0;
924       y_r = y_l + 1.0;
925       for (j=a->i[i]; j<a->i[i+1]; j++) {
926         x_l = a->j[j];
927         x_r = x_l + 1.0;
928         color = PetscDrawRealToColor(PetscAbsScalar(a->a[count]),minv,maxv);
929         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
930         count++;
931       }
932     }
933     ierr = PetscDrawCollectiveEnd(draw);CHKERRQ(ierr);
934   }
935   PetscFunctionReturn(0);
936 }
937 
938 #include <petscdraw.h>
939 PetscErrorCode MatView_SeqAIJ_Draw(Mat A,PetscViewer viewer)
940 {
941   PetscErrorCode ierr;
942   PetscDraw      draw;
943   PetscReal      xr,yr,xl,yl,h,w;
944   PetscBool      isnull;
945 
946   PetscFunctionBegin;
947   ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
948   ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr);
949   if (isnull) PetscFunctionReturn(0);
950 
951   xr   = A->cmap->n; yr  = A->rmap->n; h = yr/10.0; w = xr/10.0;
952   xr  += w;          yr += h;         xl = -w;     yl = -h;
953   ierr = PetscDrawSetCoordinates(draw,xl,yl,xr,yr);CHKERRQ(ierr);
954   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",(PetscObject)viewer);CHKERRQ(ierr);
955   ierr = PetscDrawZoom(draw,MatView_SeqAIJ_Draw_Zoom,A);CHKERRQ(ierr);
956   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",NULL);CHKERRQ(ierr);
957   ierr = PetscDrawSave(draw);CHKERRQ(ierr);
958   PetscFunctionReturn(0);
959 }
960 
961 PetscErrorCode MatView_SeqAIJ(Mat A,PetscViewer viewer)
962 {
963   PetscErrorCode ierr;
964   PetscBool      iascii,isbinary,isdraw;
965 
966   PetscFunctionBegin;
967   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
968   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
969   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
970   if (iascii) {
971     ierr = MatView_SeqAIJ_ASCII(A,viewer);CHKERRQ(ierr);
972   } else if (isbinary) {
973     ierr = MatView_SeqAIJ_Binary(A,viewer);CHKERRQ(ierr);
974   } else if (isdraw) {
975     ierr = MatView_SeqAIJ_Draw(A,viewer);CHKERRQ(ierr);
976   }
977   ierr = MatView_SeqAIJ_Inode(A,viewer);CHKERRQ(ierr);
978   PetscFunctionReturn(0);
979 }
980 
981 PetscErrorCode MatAssemblyEnd_SeqAIJ(Mat A,MatAssemblyType mode)
982 {
983   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
984   PetscErrorCode ierr;
985   PetscInt       fshift = 0,i,j,*ai = a->i,*aj = a->j,*imax = a->imax;
986   PetscInt       m      = A->rmap->n,*ip,N,*ailen = a->ilen,rmax = 0;
987   MatScalar      *aa    = a->a,*ap;
988   PetscReal      ratio  = 0.6;
989 
990   PetscFunctionBegin;
991   if (mode == MAT_FLUSH_ASSEMBLY) PetscFunctionReturn(0);
992 
993   if (m) rmax = ailen[0]; /* determine row with most nonzeros */
994   for (i=1; i<m; i++) {
995     /* move each row back by the amount of empty slots (fshift) before it*/
996     fshift += imax[i-1] - ailen[i-1];
997     rmax    = PetscMax(rmax,ailen[i]);
998     if (fshift) {
999       ip = aj + ai[i];
1000       ap = aa + ai[i];
1001       N  = ailen[i];
1002       for (j=0; j<N; j++) {
1003         ip[j-fshift] = ip[j];
1004         if (!A->structure_only) ap[j-fshift] = ap[j];
1005       }
1006     }
1007     ai[i] = ai[i-1] + ailen[i-1];
1008   }
1009   if (m) {
1010     fshift += imax[m-1] - ailen[m-1];
1011     ai[m]   = ai[m-1] + ailen[m-1];
1012   }
1013 
1014   /* reset ilen and imax for each row */
1015   a->nonzerorowcnt = 0;
1016   if (A->structure_only) {
1017     ierr = PetscFree2(a->imax,a->ilen);CHKERRQ(ierr);
1018   } else { /* !A->structure_only */
1019     for (i=0; i<m; i++) {
1020       ailen[i] = imax[i] = ai[i+1] - ai[i];
1021       a->nonzerorowcnt += ((ai[i+1] - ai[i]) > 0);
1022     }
1023   }
1024   a->nz = ai[m];
1025   if (fshift && a->nounused == -1) SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_PLIB, "Unused space detected in matrix: %D X %D, %D unneeded", m, A->cmap->n, fshift);
1026 
1027   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
1028   ierr = PetscInfo4(A,"Matrix size: %D X %D; storage space: %D unneeded,%D used\n",m,A->cmap->n,fshift,a->nz);CHKERRQ(ierr);
1029   ierr = PetscInfo1(A,"Number of mallocs during MatSetValues() is %D\n",a->reallocs);CHKERRQ(ierr);
1030   ierr = PetscInfo1(A,"Maximum nonzeros in any row is %D\n",rmax);CHKERRQ(ierr);
1031 
1032   A->info.mallocs    += a->reallocs;
1033   a->reallocs         = 0;
1034   A->info.nz_unneeded = (PetscReal)fshift;
1035   a->rmax             = rmax;
1036 
1037   if (!A->structure_only) {
1038     ierr = MatCheckCompressedRow(A,a->nonzerorowcnt,&a->compressedrow,a->i,m,ratio);CHKERRQ(ierr);
1039   }
1040   ierr = MatAssemblyEnd_SeqAIJ_Inode(A,mode);CHKERRQ(ierr);
1041   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
1042   PetscFunctionReturn(0);
1043 }
1044 
1045 PetscErrorCode MatRealPart_SeqAIJ(Mat A)
1046 {
1047   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1048   PetscInt       i,nz = a->nz;
1049   MatScalar      *aa = a->a;
1050   PetscErrorCode ierr;
1051 
1052   PetscFunctionBegin;
1053   for (i=0; i<nz; i++) aa[i] = PetscRealPart(aa[i]);
1054   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
1055   PetscFunctionReturn(0);
1056 }
1057 
1058 PetscErrorCode MatImaginaryPart_SeqAIJ(Mat A)
1059 {
1060   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1061   PetscInt       i,nz = a->nz;
1062   MatScalar      *aa = a->a;
1063   PetscErrorCode ierr;
1064 
1065   PetscFunctionBegin;
1066   for (i=0; i<nz; i++) aa[i] = PetscImaginaryPart(aa[i]);
1067   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
1068   PetscFunctionReturn(0);
1069 }
1070 
1071 PetscErrorCode MatZeroEntries_SeqAIJ(Mat A)
1072 {
1073   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1074   PetscErrorCode ierr;
1075 
1076   PetscFunctionBegin;
1077   ierr = PetscMemzero(a->a,(a->i[A->rmap->n])*sizeof(PetscScalar));CHKERRQ(ierr);
1078   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
1079   PetscFunctionReturn(0);
1080 }
1081 
1082 PetscErrorCode MatDestroy_SeqAIJ(Mat A)
1083 {
1084   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1085   PetscErrorCode ierr;
1086 
1087   PetscFunctionBegin;
1088 #if defined(PETSC_USE_LOG)
1089   PetscLogObjectState((PetscObject)A,"Rows=%D, Cols=%D, NZ=%D",A->rmap->n,A->cmap->n,a->nz);
1090 #endif
1091   ierr = MatSeqXAIJFreeAIJ(A,&a->a,&a->j,&a->i);CHKERRQ(ierr);
1092   ierr = ISDestroy(&a->row);CHKERRQ(ierr);
1093   ierr = ISDestroy(&a->col);CHKERRQ(ierr);
1094   ierr = PetscFree(a->diag);CHKERRQ(ierr);
1095   ierr = PetscFree(a->ibdiag);CHKERRQ(ierr);
1096   ierr = PetscFree2(a->imax,a->ilen);CHKERRQ(ierr);
1097   ierr = PetscFree3(a->idiag,a->mdiag,a->ssor_work);CHKERRQ(ierr);
1098   ierr = PetscFree(a->solve_work);CHKERRQ(ierr);
1099   ierr = ISDestroy(&a->icol);CHKERRQ(ierr);
1100   ierr = PetscFree(a->saved_values);CHKERRQ(ierr);
1101   ierr = ISColoringDestroy(&a->coloring);CHKERRQ(ierr);
1102   ierr = PetscFree2(a->compressedrow.i,a->compressedrow.rindex);CHKERRQ(ierr);
1103   ierr = PetscFree(a->matmult_abdense);CHKERRQ(ierr);
1104 
1105   ierr = MatDestroy_SeqAIJ_Inode(A);CHKERRQ(ierr);
1106   ierr = PetscFree(A->data);CHKERRQ(ierr);
1107 
1108   ierr = PetscObjectChangeTypeName((PetscObject)A,0);CHKERRQ(ierr);
1109   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqAIJSetColumnIndices_C",NULL);CHKERRQ(ierr);
1110   ierr = PetscObjectComposeFunction((PetscObject)A,"MatStoreValues_C",NULL);CHKERRQ(ierr);
1111   ierr = PetscObjectComposeFunction((PetscObject)A,"MatRetrieveValues_C",NULL);CHKERRQ(ierr);
1112   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqsbaij_C",NULL);CHKERRQ(ierr);
1113   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqbaij_C",NULL);CHKERRQ(ierr);
1114   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqaijperm_C",NULL);CHKERRQ(ierr);
1115 #if defined(PETSC_HAVE_ELEMENTAL)
1116   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_elemental_C",NULL);CHKERRQ(ierr);
1117 #endif
1118 #if defined(PETSC_HAVE_HYPRE)
1119   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_hypre_C",NULL);CHKERRQ(ierr);
1120   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMatMatMult_transpose_seqaij_seqaij_C",NULL);CHKERRQ(ierr);
1121 #endif
1122   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqdense_C",NULL);CHKERRQ(ierr);
1123   ierr = PetscObjectComposeFunction((PetscObject)A,"MatIsTranspose_C",NULL);CHKERRQ(ierr);
1124   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqAIJSetPreallocation_C",NULL);CHKERRQ(ierr);
1125   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqAIJSetPreallocationCSR_C",NULL);CHKERRQ(ierr);
1126   ierr = PetscObjectComposeFunction((PetscObject)A,"MatReorderForNonzeroDiagonal_C",NULL);CHKERRQ(ierr);
1127   PetscFunctionReturn(0);
1128 }
1129 
1130 PetscErrorCode MatSetOption_SeqAIJ(Mat A,MatOption op,PetscBool flg)
1131 {
1132   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1133   PetscErrorCode ierr;
1134 
1135   PetscFunctionBegin;
1136   switch (op) {
1137   case MAT_ROW_ORIENTED:
1138     a->roworiented = flg;
1139     break;
1140   case MAT_KEEP_NONZERO_PATTERN:
1141     a->keepnonzeropattern = flg;
1142     break;
1143   case MAT_NEW_NONZERO_LOCATIONS:
1144     a->nonew = (flg ? 0 : 1);
1145     break;
1146   case MAT_NEW_NONZERO_LOCATION_ERR:
1147     a->nonew = (flg ? -1 : 0);
1148     break;
1149   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1150     a->nonew = (flg ? -2 : 0);
1151     break;
1152   case MAT_UNUSED_NONZERO_LOCATION_ERR:
1153     a->nounused = (flg ? -1 : 0);
1154     break;
1155   case MAT_IGNORE_ZERO_ENTRIES:
1156     a->ignorezeroentries = flg;
1157     break;
1158   case MAT_SPD:
1159   case MAT_SYMMETRIC:
1160   case MAT_STRUCTURALLY_SYMMETRIC:
1161   case MAT_HERMITIAN:
1162   case MAT_SYMMETRY_ETERNAL:
1163   case MAT_STRUCTURE_ONLY:
1164     /* These options are handled directly by MatSetOption() */
1165     break;
1166   case MAT_NEW_DIAGONALS:
1167   case MAT_IGNORE_OFF_PROC_ENTRIES:
1168   case MAT_USE_HASH_TABLE:
1169     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1170     break;
1171   case MAT_USE_INODES:
1172     /* Not an error because MatSetOption_SeqAIJ_Inode handles this one */
1173     break;
1174   case MAT_SUBMAT_SINGLEIS:
1175     A->submat_singleis = flg;
1176     break;
1177   default:
1178     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"unknown option %d",op);
1179   }
1180   ierr = MatSetOption_SeqAIJ_Inode(A,op,flg);CHKERRQ(ierr);
1181   PetscFunctionReturn(0);
1182 }
1183 
1184 PetscErrorCode MatGetDiagonal_SeqAIJ(Mat A,Vec v)
1185 {
1186   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1187   PetscErrorCode ierr;
1188   PetscInt       i,j,n,*ai=a->i,*aj=a->j,nz;
1189   PetscScalar    *aa=a->a,*x,zero=0.0;
1190 
1191   PetscFunctionBegin;
1192   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
1193   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
1194 
1195   if (A->factortype == MAT_FACTOR_ILU || A->factortype == MAT_FACTOR_LU) {
1196     PetscInt *diag=a->diag;
1197     ierr = VecGetArray(v,&x);CHKERRQ(ierr);
1198     for (i=0; i<n; i++) x[i] = 1.0/aa[diag[i]];
1199     ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
1200     PetscFunctionReturn(0);
1201   }
1202 
1203   ierr = VecSet(v,zero);CHKERRQ(ierr);
1204   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
1205   for (i=0; i<n; i++) {
1206     nz = ai[i+1] - ai[i];
1207     if (!nz) x[i] = 0.0;
1208     for (j=ai[i]; j<ai[i+1]; j++) {
1209       if (aj[j] == i) {
1210         x[i] = aa[j];
1211         break;
1212       }
1213     }
1214   }
1215   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
1216   PetscFunctionReturn(0);
1217 }
1218 
1219 #include <../src/mat/impls/aij/seq/ftn-kernels/fmult.h>
1220 PetscErrorCode MatMultTransposeAdd_SeqAIJ(Mat A,Vec xx,Vec zz,Vec yy)
1221 {
1222   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1223   PetscScalar       *y;
1224   const PetscScalar *x;
1225   PetscErrorCode    ierr;
1226   PetscInt          m = A->rmap->n;
1227 #if !defined(PETSC_USE_FORTRAN_KERNEL_MULTTRANSPOSEAIJ)
1228   const MatScalar   *v;
1229   PetscScalar       alpha;
1230   PetscInt          n,i,j;
1231   const PetscInt    *idx,*ii,*ridx=NULL;
1232   Mat_CompressedRow cprow    = a->compressedrow;
1233   PetscBool         usecprow = cprow.use;
1234 #endif
1235 
1236   PetscFunctionBegin;
1237   if (zz != yy) {ierr = VecCopy(zz,yy);CHKERRQ(ierr);}
1238   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1239   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1240 
1241 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTTRANSPOSEAIJ)
1242   fortranmulttransposeaddaij_(&m,x,a->i,a->j,a->a,y);
1243 #else
1244   if (usecprow) {
1245     m    = cprow.nrows;
1246     ii   = cprow.i;
1247     ridx = cprow.rindex;
1248   } else {
1249     ii = a->i;
1250   }
1251   for (i=0; i<m; i++) {
1252     idx = a->j + ii[i];
1253     v   = a->a + ii[i];
1254     n   = ii[i+1] - ii[i];
1255     if (usecprow) {
1256       alpha = x[ridx[i]];
1257     } else {
1258       alpha = x[i];
1259     }
1260     for (j=0; j<n; j++) y[idx[j]] += alpha*v[j];
1261   }
1262 #endif
1263   ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1264   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1265   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1266   PetscFunctionReturn(0);
1267 }
1268 
1269 PetscErrorCode MatMultTranspose_SeqAIJ(Mat A,Vec xx,Vec yy)
1270 {
1271   PetscErrorCode ierr;
1272 
1273   PetscFunctionBegin;
1274   ierr = VecSet(yy,0.0);CHKERRQ(ierr);
1275   ierr = MatMultTransposeAdd_SeqAIJ(A,xx,yy,yy);CHKERRQ(ierr);
1276   PetscFunctionReturn(0);
1277 }
1278 
1279 #include <../src/mat/impls/aij/seq/ftn-kernels/fmult.h>
1280 
1281 PetscErrorCode MatMult_SeqAIJ(Mat A,Vec xx,Vec yy)
1282 {
1283   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1284   PetscScalar       *y;
1285   const PetscScalar *x;
1286   const MatScalar   *aa;
1287   PetscErrorCode    ierr;
1288   PetscInt          m=A->rmap->n;
1289   const PetscInt    *aj,*ii,*ridx=NULL;
1290   PetscInt          n,i;
1291   PetscScalar       sum;
1292   PetscBool         usecprow=a->compressedrow.use;
1293 
1294 #if defined(PETSC_HAVE_PRAGMA_DISJOINT)
1295 #pragma disjoint(*x,*y,*aa)
1296 #endif
1297 
1298   PetscFunctionBegin;
1299   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1300   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1301   ii   = a->i;
1302   if (usecprow) { /* use compressed row format */
1303     ierr = PetscMemzero(y,m*sizeof(PetscScalar));CHKERRQ(ierr);
1304     m    = a->compressedrow.nrows;
1305     ii   = a->compressedrow.i;
1306     ridx = a->compressedrow.rindex;
1307     for (i=0; i<m; i++) {
1308       n           = ii[i+1] - ii[i];
1309       aj          = a->j + ii[i];
1310       aa          = a->a + ii[i];
1311       sum         = 0.0;
1312       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1313       /* for (j=0; j<n; j++) sum += (*aa++)*x[*aj++]; */
1314       y[*ridx++] = sum;
1315     }
1316   } else { /* do not use compressed row format */
1317 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTAIJ)
1318     aj   = a->j;
1319     aa   = a->a;
1320     fortranmultaij_(&m,x,ii,aj,aa,y);
1321 #else
1322     for (i=0; i<m; i++) {
1323       n           = ii[i+1] - ii[i];
1324       aj          = a->j + ii[i];
1325       aa          = a->a + ii[i];
1326       sum         = 0.0;
1327       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1328       y[i] = sum;
1329     }
1330 #endif
1331   }
1332   ierr = PetscLogFlops(2.0*a->nz - a->nonzerorowcnt);CHKERRQ(ierr);
1333   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1334   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1335   PetscFunctionReturn(0);
1336 }
1337 
1338 PetscErrorCode MatMultMax_SeqAIJ(Mat A,Vec xx,Vec yy)
1339 {
1340   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1341   PetscScalar       *y;
1342   const PetscScalar *x;
1343   const MatScalar   *aa;
1344   PetscErrorCode    ierr;
1345   PetscInt          m=A->rmap->n;
1346   const PetscInt    *aj,*ii,*ridx=NULL;
1347   PetscInt          n,i,nonzerorow=0;
1348   PetscScalar       sum;
1349   PetscBool         usecprow=a->compressedrow.use;
1350 
1351 #if defined(PETSC_HAVE_PRAGMA_DISJOINT)
1352 #pragma disjoint(*x,*y,*aa)
1353 #endif
1354 
1355   PetscFunctionBegin;
1356   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1357   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1358   if (usecprow) { /* use compressed row format */
1359     m    = a->compressedrow.nrows;
1360     ii   = a->compressedrow.i;
1361     ridx = a->compressedrow.rindex;
1362     for (i=0; i<m; i++) {
1363       n           = ii[i+1] - ii[i];
1364       aj          = a->j + ii[i];
1365       aa          = a->a + ii[i];
1366       sum         = 0.0;
1367       nonzerorow += (n>0);
1368       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1369       /* for (j=0; j<n; j++) sum += (*aa++)*x[*aj++]; */
1370       y[*ridx++] = sum;
1371     }
1372   } else { /* do not use compressed row format */
1373     ii = a->i;
1374     for (i=0; i<m; i++) {
1375       n           = ii[i+1] - ii[i];
1376       aj          = a->j + ii[i];
1377       aa          = a->a + ii[i];
1378       sum         = 0.0;
1379       nonzerorow += (n>0);
1380       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1381       y[i] = sum;
1382     }
1383   }
1384   ierr = PetscLogFlops(2.0*a->nz - nonzerorow);CHKERRQ(ierr);
1385   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1386   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1387   PetscFunctionReturn(0);
1388 }
1389 
1390 PetscErrorCode MatMultAddMax_SeqAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1391 {
1392   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1393   PetscScalar       *y,*z;
1394   const PetscScalar *x;
1395   const MatScalar   *aa;
1396   PetscErrorCode    ierr;
1397   PetscInt          m = A->rmap->n,*aj,*ii;
1398   PetscInt          n,i,*ridx=NULL;
1399   PetscScalar       sum;
1400   PetscBool         usecprow=a->compressedrow.use;
1401 
1402   PetscFunctionBegin;
1403   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1404   ierr = VecGetArrayPair(yy,zz,&y,&z);CHKERRQ(ierr);
1405   if (usecprow) { /* use compressed row format */
1406     if (zz != yy) {
1407       ierr = PetscMemcpy(z,y,m*sizeof(PetscScalar));CHKERRQ(ierr);
1408     }
1409     m    = a->compressedrow.nrows;
1410     ii   = a->compressedrow.i;
1411     ridx = a->compressedrow.rindex;
1412     for (i=0; i<m; i++) {
1413       n   = ii[i+1] - ii[i];
1414       aj  = a->j + ii[i];
1415       aa  = a->a + ii[i];
1416       sum = y[*ridx];
1417       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1418       z[*ridx++] = sum;
1419     }
1420   } else { /* do not use compressed row format */
1421     ii = a->i;
1422     for (i=0; i<m; i++) {
1423       n   = ii[i+1] - ii[i];
1424       aj  = a->j + ii[i];
1425       aa  = a->a + ii[i];
1426       sum = y[i];
1427       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1428       z[i] = sum;
1429     }
1430   }
1431   ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1432   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1433   ierr = VecRestoreArrayPair(yy,zz,&y,&z);CHKERRQ(ierr);
1434   PetscFunctionReturn(0);
1435 }
1436 
1437 #include <../src/mat/impls/aij/seq/ftn-kernels/fmultadd.h>
1438 PetscErrorCode MatMultAdd_SeqAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1439 {
1440   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1441   PetscScalar       *y,*z;
1442   const PetscScalar *x;
1443   const MatScalar   *aa;
1444   PetscErrorCode    ierr;
1445   const PetscInt    *aj,*ii,*ridx=NULL;
1446   PetscInt          m = A->rmap->n,n,i;
1447   PetscScalar       sum;
1448   PetscBool         usecprow=a->compressedrow.use;
1449 
1450   PetscFunctionBegin;
1451   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1452   ierr = VecGetArrayPair(yy,zz,&y,&z);CHKERRQ(ierr);
1453   if (usecprow) { /* use compressed row format */
1454     if (zz != yy) {
1455       ierr = PetscMemcpy(z,y,m*sizeof(PetscScalar));CHKERRQ(ierr);
1456     }
1457     m    = a->compressedrow.nrows;
1458     ii   = a->compressedrow.i;
1459     ridx = a->compressedrow.rindex;
1460     for (i=0; i<m; i++) {
1461       n   = ii[i+1] - ii[i];
1462       aj  = a->j + ii[i];
1463       aa  = a->a + ii[i];
1464       sum = y[*ridx];
1465       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1466       z[*ridx++] = sum;
1467     }
1468   } else { /* do not use compressed row format */
1469     ii = a->i;
1470 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTADDAIJ)
1471     aj = a->j;
1472     aa = a->a;
1473     fortranmultaddaij_(&m,x,ii,aj,aa,y,z);
1474 #else
1475     for (i=0; i<m; i++) {
1476       n   = ii[i+1] - ii[i];
1477       aj  = a->j + ii[i];
1478       aa  = a->a + ii[i];
1479       sum = y[i];
1480       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1481       z[i] = sum;
1482     }
1483 #endif
1484   }
1485   ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1486   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1487   ierr = VecRestoreArrayPair(yy,zz,&y,&z);CHKERRQ(ierr);
1488 #if defined(PETSC_HAVE_CUSP)
1489   /*
1490   ierr = VecView(xx,0);CHKERRQ(ierr);
1491   ierr = VecView(zz,0);CHKERRQ(ierr);
1492   ierr = MatView(A,0);CHKERRQ(ierr);
1493   */
1494 #endif
1495   PetscFunctionReturn(0);
1496 }
1497 
1498 /*
1499      Adds diagonal pointers to sparse matrix structure.
1500 */
1501 PetscErrorCode MatMarkDiagonal_SeqAIJ(Mat A)
1502 {
1503   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1504   PetscErrorCode ierr;
1505   PetscInt       i,j,m = A->rmap->n;
1506 
1507   PetscFunctionBegin;
1508   if (!a->diag) {
1509     ierr = PetscMalloc1(m,&a->diag);CHKERRQ(ierr);
1510     ierr = PetscLogObjectMemory((PetscObject)A, m*sizeof(PetscInt));CHKERRQ(ierr);
1511   }
1512   for (i=0; i<A->rmap->n; i++) {
1513     a->diag[i] = a->i[i+1];
1514     for (j=a->i[i]; j<a->i[i+1]; j++) {
1515       if (a->j[j] == i) {
1516         a->diag[i] = j;
1517         break;
1518       }
1519     }
1520   }
1521   PetscFunctionReturn(0);
1522 }
1523 
1524 /*
1525      Checks for missing diagonals
1526 */
1527 PetscErrorCode MatMissingDiagonal_SeqAIJ(Mat A,PetscBool  *missing,PetscInt *d)
1528 {
1529   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1530   PetscInt   *diag,*ii = a->i,i;
1531 
1532   PetscFunctionBegin;
1533   *missing = PETSC_FALSE;
1534   if (A->rmap->n > 0 && !ii) {
1535     *missing = PETSC_TRUE;
1536     if (d) *d = 0;
1537     PetscInfo(A,"Matrix has no entries therefore is missing diagonal\n");
1538   } else {
1539     diag = a->diag;
1540     for (i=0; i<A->rmap->n; i++) {
1541       if (diag[i] >= ii[i+1]) {
1542         *missing = PETSC_TRUE;
1543         if (d) *d = i;
1544         PetscInfo1(A,"Matrix is missing diagonal number %D\n",i);
1545         break;
1546       }
1547     }
1548   }
1549   PetscFunctionReturn(0);
1550 }
1551 
1552 /*
1553    Negative shift indicates do not generate an error if there is a zero diagonal, just invert it anyways
1554 */
1555 PetscErrorCode  MatInvertDiagonal_SeqAIJ(Mat A,PetscScalar omega,PetscScalar fshift)
1556 {
1557   Mat_SeqAIJ     *a = (Mat_SeqAIJ*) A->data;
1558   PetscErrorCode ierr;
1559   PetscInt       i,*diag,m = A->rmap->n;
1560   MatScalar      *v = a->a;
1561   PetscScalar    *idiag,*mdiag;
1562 
1563   PetscFunctionBegin;
1564   if (a->idiagvalid) PetscFunctionReturn(0);
1565   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
1566   diag = a->diag;
1567   if (!a->idiag) {
1568     ierr = PetscMalloc3(m,&a->idiag,m,&a->mdiag,m,&a->ssor_work);CHKERRQ(ierr);
1569     ierr = PetscLogObjectMemory((PetscObject)A, 3*m*sizeof(PetscScalar));CHKERRQ(ierr);
1570     v    = a->a;
1571   }
1572   mdiag = a->mdiag;
1573   idiag = a->idiag;
1574 
1575   if (omega == 1.0 && PetscRealPart(fshift) <= 0.0) {
1576     for (i=0; i<m; i++) {
1577       mdiag[i] = v[diag[i]];
1578       if (!PetscAbsScalar(mdiag[i])) { /* zero diagonal */
1579         if (PetscRealPart(fshift)) {
1580           ierr = PetscInfo1(A,"Zero diagonal on row %D\n",i);CHKERRQ(ierr);
1581           A->factorerrortype             = MAT_FACTOR_NUMERIC_ZEROPIVOT;
1582           A->factorerror_zeropivot_value = 0.0;
1583           A->factorerror_zeropivot_row   = i;
1584         } SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Zero diagonal on row %D",i);
1585       }
1586       idiag[i] = 1.0/v[diag[i]];
1587     }
1588     ierr = PetscLogFlops(m);CHKERRQ(ierr);
1589   } else {
1590     for (i=0; i<m; i++) {
1591       mdiag[i] = v[diag[i]];
1592       idiag[i] = omega/(fshift + v[diag[i]]);
1593     }
1594     ierr = PetscLogFlops(2.0*m);CHKERRQ(ierr);
1595   }
1596   a->idiagvalid = PETSC_TRUE;
1597   PetscFunctionReturn(0);
1598 }
1599 
1600 #include <../src/mat/impls/aij/seq/ftn-kernels/frelax.h>
1601 PetscErrorCode MatSOR_SeqAIJ(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
1602 {
1603   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1604   PetscScalar       *x,d,sum,*t,scale;
1605   const MatScalar   *v,*idiag=0,*mdiag;
1606   const PetscScalar *b, *bs,*xb, *ts;
1607   PetscErrorCode    ierr;
1608   PetscInt          n,m = A->rmap->n,i;
1609   const PetscInt    *idx,*diag;
1610 
1611   PetscFunctionBegin;
1612   its = its*lits;
1613 
1614   if (fshift != a->fshift || omega != a->omega) a->idiagvalid = PETSC_FALSE; /* must recompute idiag[] */
1615   if (!a->idiagvalid) {ierr = MatInvertDiagonal_SeqAIJ(A,omega,fshift);CHKERRQ(ierr);}
1616   a->fshift = fshift;
1617   a->omega  = omega;
1618 
1619   diag  = a->diag;
1620   t     = a->ssor_work;
1621   idiag = a->idiag;
1622   mdiag = a->mdiag;
1623 
1624   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
1625   ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr);
1626   /* We count flops by assuming the upper triangular and lower triangular parts have the same number of nonzeros */
1627   if (flag == SOR_APPLY_UPPER) {
1628     /* apply (U + D/omega) to the vector */
1629     bs = b;
1630     for (i=0; i<m; i++) {
1631       d   = fshift + mdiag[i];
1632       n   = a->i[i+1] - diag[i] - 1;
1633       idx = a->j + diag[i] + 1;
1634       v   = a->a + diag[i] + 1;
1635       sum = b[i]*d/omega;
1636       PetscSparseDensePlusDot(sum,bs,v,idx,n);
1637       x[i] = sum;
1638     }
1639     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1640     ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
1641     ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
1642     PetscFunctionReturn(0);
1643   }
1644 
1645   if (flag == SOR_APPLY_LOWER) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"SOR_APPLY_LOWER is not implemented");
1646   else if (flag & SOR_EISENSTAT) {
1647     /* Let  A = L + U + D; where L is lower trianglar,
1648     U is upper triangular, E = D/omega; This routine applies
1649 
1650             (L + E)^{-1} A (U + E)^{-1}
1651 
1652     to a vector efficiently using Eisenstat's trick.
1653     */
1654     scale = (2.0/omega) - 1.0;
1655 
1656     /*  x = (E + U)^{-1} b */
1657     for (i=m-1; i>=0; i--) {
1658       n   = a->i[i+1] - diag[i] - 1;
1659       idx = a->j + diag[i] + 1;
1660       v   = a->a + diag[i] + 1;
1661       sum = b[i];
1662       PetscSparseDenseMinusDot(sum,x,v,idx,n);
1663       x[i] = sum*idiag[i];
1664     }
1665 
1666     /*  t = b - (2*E - D)x */
1667     v = a->a;
1668     for (i=0; i<m; i++) t[i] = b[i] - scale*(v[*diag++])*x[i];
1669 
1670     /*  t = (E + L)^{-1}t */
1671     ts   = t;
1672     diag = a->diag;
1673     for (i=0; i<m; i++) {
1674       n   = diag[i] - a->i[i];
1675       idx = a->j + a->i[i];
1676       v   = a->a + a->i[i];
1677       sum = t[i];
1678       PetscSparseDenseMinusDot(sum,ts,v,idx,n);
1679       t[i] = sum*idiag[i];
1680       /*  x = x + t */
1681       x[i] += t[i];
1682     }
1683 
1684     ierr = PetscLogFlops(6.0*m-1 + 2.0*a->nz);CHKERRQ(ierr);
1685     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1686     ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
1687     PetscFunctionReturn(0);
1688   }
1689   if (flag & SOR_ZERO_INITIAL_GUESS) {
1690     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) {
1691       for (i=0; i<m; i++) {
1692         n   = diag[i] - a->i[i];
1693         idx = a->j + a->i[i];
1694         v   = a->a + a->i[i];
1695         sum = b[i];
1696         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1697         t[i] = sum;
1698         x[i] = sum*idiag[i];
1699       }
1700       xb   = t;
1701       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
1702     } else xb = b;
1703     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
1704       for (i=m-1; i>=0; i--) {
1705         n   = a->i[i+1] - diag[i] - 1;
1706         idx = a->j + diag[i] + 1;
1707         v   = a->a + diag[i] + 1;
1708         sum = xb[i];
1709         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1710         if (xb == b) {
1711           x[i] = sum*idiag[i];
1712         } else {
1713           x[i] = (1-omega)*x[i] + sum*idiag[i];  /* omega in idiag */
1714         }
1715       }
1716       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr); /* assumes 1/2 in upper */
1717     }
1718     its--;
1719   }
1720   while (its--) {
1721     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) {
1722       for (i=0; i<m; i++) {
1723         /* lower */
1724         n   = diag[i] - a->i[i];
1725         idx = a->j + a->i[i];
1726         v   = a->a + a->i[i];
1727         sum = b[i];
1728         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1729         t[i] = sum;             /* save application of the lower-triangular part */
1730         /* upper */
1731         n   = a->i[i+1] - diag[i] - 1;
1732         idx = a->j + diag[i] + 1;
1733         v   = a->a + diag[i] + 1;
1734         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1735         x[i] = (1. - omega)*x[i] + sum*idiag[i]; /* omega in idiag */
1736       }
1737       xb   = t;
1738       ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1739     } else xb = b;
1740     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
1741       for (i=m-1; i>=0; i--) {
1742         sum = xb[i];
1743         if (xb == b) {
1744           /* whole matrix (no checkpointing available) */
1745           n   = a->i[i+1] - a->i[i];
1746           idx = a->j + a->i[i];
1747           v   = a->a + a->i[i];
1748           PetscSparseDenseMinusDot(sum,x,v,idx,n);
1749           x[i] = (1. - omega)*x[i] + (sum + mdiag[i]*x[i])*idiag[i];
1750         } else { /* lower-triangular part has been saved, so only apply upper-triangular */
1751           n   = a->i[i+1] - diag[i] - 1;
1752           idx = a->j + diag[i] + 1;
1753           v   = a->a + diag[i] + 1;
1754           PetscSparseDenseMinusDot(sum,x,v,idx,n);
1755           x[i] = (1. - omega)*x[i] + sum*idiag[i];  /* omega in idiag */
1756         }
1757       }
1758       if (xb == b) {
1759         ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1760       } else {
1761         ierr = PetscLogFlops(a->nz);CHKERRQ(ierr); /* assumes 1/2 in upper */
1762       }
1763     }
1764   }
1765   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1766   ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
1767   PetscFunctionReturn(0);
1768 }
1769 
1770 
1771 PetscErrorCode MatGetInfo_SeqAIJ(Mat A,MatInfoType flag,MatInfo *info)
1772 {
1773   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1774 
1775   PetscFunctionBegin;
1776   info->block_size   = 1.0;
1777   info->nz_allocated = (double)a->maxnz;
1778   info->nz_used      = (double)a->nz;
1779   info->nz_unneeded  = (double)(a->maxnz - a->nz);
1780   info->assemblies   = (double)A->num_ass;
1781   info->mallocs      = (double)A->info.mallocs;
1782   info->memory       = ((PetscObject)A)->mem;
1783   if (A->factortype) {
1784     info->fill_ratio_given  = A->info.fill_ratio_given;
1785     info->fill_ratio_needed = A->info.fill_ratio_needed;
1786     info->factor_mallocs    = A->info.factor_mallocs;
1787   } else {
1788     info->fill_ratio_given  = 0;
1789     info->fill_ratio_needed = 0;
1790     info->factor_mallocs    = 0;
1791   }
1792   PetscFunctionReturn(0);
1793 }
1794 
1795 PetscErrorCode MatZeroRows_SeqAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
1796 {
1797   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1798   PetscInt          i,m = A->rmap->n - 1;
1799   PetscErrorCode    ierr;
1800   const PetscScalar *xx;
1801   PetscScalar       *bb;
1802   PetscInt          d = 0;
1803 
1804   PetscFunctionBegin;
1805   if (x && b) {
1806     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
1807     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1808     for (i=0; i<N; i++) {
1809       if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1810       bb[rows[i]] = diag*xx[rows[i]];
1811     }
1812     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
1813     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
1814   }
1815 
1816   if (a->keepnonzeropattern) {
1817     for (i=0; i<N; i++) {
1818       if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1819       ierr = PetscMemzero(&a->a[a->i[rows[i]]],a->ilen[rows[i]]*sizeof(PetscScalar));CHKERRQ(ierr);
1820     }
1821     if (diag != 0.0) {
1822       for (i=0; i<N; i++) {
1823         d = rows[i];
1824         if (a->diag[d] >= a->i[d+1]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Matrix is missing diagonal entry in the zeroed row %D",d);
1825       }
1826       for (i=0; i<N; i++) {
1827         a->a[a->diag[rows[i]]] = diag;
1828       }
1829     }
1830   } else {
1831     if (diag != 0.0) {
1832       for (i=0; i<N; i++) {
1833         if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1834         if (a->ilen[rows[i]] > 0) {
1835           a->ilen[rows[i]]    = 1;
1836           a->a[a->i[rows[i]]] = diag;
1837           a->j[a->i[rows[i]]] = rows[i];
1838         } else { /* in case row was completely empty */
1839           ierr = MatSetValues_SeqAIJ(A,1,&rows[i],1,&rows[i],&diag,INSERT_VALUES);CHKERRQ(ierr);
1840         }
1841       }
1842     } else {
1843       for (i=0; i<N; i++) {
1844         if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1845         a->ilen[rows[i]] = 0;
1846       }
1847     }
1848     A->nonzerostate++;
1849   }
1850   ierr = (*A->ops->assemblyend)(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1851   PetscFunctionReturn(0);
1852 }
1853 
1854 PetscErrorCode MatZeroRowsColumns_SeqAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
1855 {
1856   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1857   PetscInt          i,j,m = A->rmap->n - 1,d = 0;
1858   PetscErrorCode    ierr;
1859   PetscBool         missing,*zeroed,vecs = PETSC_FALSE;
1860   const PetscScalar *xx;
1861   PetscScalar       *bb;
1862 
1863   PetscFunctionBegin;
1864   if (x && b) {
1865     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
1866     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1867     vecs = PETSC_TRUE;
1868   }
1869   ierr = PetscCalloc1(A->rmap->n,&zeroed);CHKERRQ(ierr);
1870   for (i=0; i<N; i++) {
1871     if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1872     ierr = PetscMemzero(&a->a[a->i[rows[i]]],a->ilen[rows[i]]*sizeof(PetscScalar));CHKERRQ(ierr);
1873 
1874     zeroed[rows[i]] = PETSC_TRUE;
1875   }
1876   for (i=0; i<A->rmap->n; i++) {
1877     if (!zeroed[i]) {
1878       for (j=a->i[i]; j<a->i[i+1]; j++) {
1879         if (zeroed[a->j[j]]) {
1880           if (vecs) bb[i] -= a->a[j]*xx[a->j[j]];
1881           a->a[j] = 0.0;
1882         }
1883       }
1884     } else if (vecs) bb[i] = diag*xx[i];
1885   }
1886   if (x && b) {
1887     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
1888     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
1889   }
1890   ierr = PetscFree(zeroed);CHKERRQ(ierr);
1891   if (diag != 0.0) {
1892     ierr = MatMissingDiagonal_SeqAIJ(A,&missing,&d);CHKERRQ(ierr);
1893     if (missing) {
1894       if (a->nonew) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Matrix is missing diagonal entry in row %D",d);
1895       else {
1896         for (i=0; i<N; i++) {
1897           ierr = MatSetValues_SeqAIJ(A,1,&rows[i],1,&rows[i],&diag,INSERT_VALUES);CHKERRQ(ierr);
1898         }
1899       }
1900     } else {
1901       for (i=0; i<N; i++) {
1902         a->a[a->diag[rows[i]]] = diag;
1903       }
1904     }
1905   }
1906   ierr = (*A->ops->assemblyend)(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1907   PetscFunctionReturn(0);
1908 }
1909 
1910 PetscErrorCode MatGetRow_SeqAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1911 {
1912   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1913   PetscInt   *itmp;
1914 
1915   PetscFunctionBegin;
1916   if (row < 0 || row >= A->rmap->n) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row %D out of range",row);
1917 
1918   *nz = a->i[row+1] - a->i[row];
1919   if (v) *v = a->a + a->i[row];
1920   if (idx) {
1921     itmp = a->j + a->i[row];
1922     if (*nz) *idx = itmp;
1923     else *idx = 0;
1924   }
1925   PetscFunctionReturn(0);
1926 }
1927 
1928 /* remove this function? */
1929 PetscErrorCode MatRestoreRow_SeqAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1930 {
1931   PetscFunctionBegin;
1932   PetscFunctionReturn(0);
1933 }
1934 
1935 PetscErrorCode MatNorm_SeqAIJ(Mat A,NormType type,PetscReal *nrm)
1936 {
1937   Mat_SeqAIJ     *a  = (Mat_SeqAIJ*)A->data;
1938   MatScalar      *v  = a->a;
1939   PetscReal      sum = 0.0;
1940   PetscErrorCode ierr;
1941   PetscInt       i,j;
1942 
1943   PetscFunctionBegin;
1944   if (type == NORM_FROBENIUS) {
1945 #if defined(PETSC_USE_REAL___FP16)
1946     PetscBLASInt one = 1,nz = a->nz;
1947     *nrm = BLASnrm2_(&nz,v,&one);
1948 #else
1949     for (i=0; i<a->nz; i++) {
1950       sum += PetscRealPart(PetscConj(*v)*(*v)); v++;
1951     }
1952     *nrm = PetscSqrtReal(sum);
1953 #endif
1954     ierr = PetscLogFlops(2*a->nz);CHKERRQ(ierr);
1955   } else if (type == NORM_1) {
1956     PetscReal *tmp;
1957     PetscInt  *jj = a->j;
1958     ierr = PetscCalloc1(A->cmap->n+1,&tmp);CHKERRQ(ierr);
1959     *nrm = 0.0;
1960     for (j=0; j<a->nz; j++) {
1961       tmp[*jj++] += PetscAbsScalar(*v);  v++;
1962     }
1963     for (j=0; j<A->cmap->n; j++) {
1964       if (tmp[j] > *nrm) *nrm = tmp[j];
1965     }
1966     ierr = PetscFree(tmp);CHKERRQ(ierr);
1967     ierr = PetscLogFlops(PetscMax(a->nz-1,0));CHKERRQ(ierr);
1968   } else if (type == NORM_INFINITY) {
1969     *nrm = 0.0;
1970     for (j=0; j<A->rmap->n; j++) {
1971       v   = a->a + a->i[j];
1972       sum = 0.0;
1973       for (i=0; i<a->i[j+1]-a->i[j]; i++) {
1974         sum += PetscAbsScalar(*v); v++;
1975       }
1976       if (sum > *nrm) *nrm = sum;
1977     }
1978     ierr = PetscLogFlops(PetscMax(a->nz-1,0));CHKERRQ(ierr);
1979   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for two norm");
1980   PetscFunctionReturn(0);
1981 }
1982 
1983 /* Merged from MatGetSymbolicTranspose_SeqAIJ() - replace MatGetSymbolicTranspose_SeqAIJ()? */
1984 PetscErrorCode MatTransposeSymbolic_SeqAIJ(Mat A,Mat *B)
1985 {
1986   PetscErrorCode ierr;
1987   PetscInt       i,j,anzj;
1988   Mat_SeqAIJ     *a=(Mat_SeqAIJ*)A->data,*b;
1989   PetscInt       an=A->cmap->N,am=A->rmap->N;
1990   PetscInt       *ati,*atj,*atfill,*ai=a->i,*aj=a->j;
1991 
1992   PetscFunctionBegin;
1993   /* Allocate space for symbolic transpose info and work array */
1994   ierr = PetscCalloc1(an+1,&ati);CHKERRQ(ierr);
1995   ierr = PetscMalloc1(ai[am],&atj);CHKERRQ(ierr);
1996   ierr = PetscMalloc1(an,&atfill);CHKERRQ(ierr);
1997 
1998   /* Walk through aj and count ## of non-zeros in each row of A^T. */
1999   /* Note: offset by 1 for fast conversion into csr format. */
2000   for (i=0;i<ai[am];i++) ati[aj[i]+1] += 1;
2001   /* Form ati for csr format of A^T. */
2002   for (i=0;i<an;i++) ati[i+1] += ati[i];
2003 
2004   /* Copy ati into atfill so we have locations of the next free space in atj */
2005   ierr = PetscMemcpy(atfill,ati,an*sizeof(PetscInt));CHKERRQ(ierr);
2006 
2007   /* Walk through A row-wise and mark nonzero entries of A^T. */
2008   for (i=0;i<am;i++) {
2009     anzj = ai[i+1] - ai[i];
2010     for (j=0;j<anzj;j++) {
2011       atj[atfill[*aj]] = i;
2012       atfill[*aj++]   += 1;
2013     }
2014   }
2015 
2016   /* Clean up temporary space and complete requests. */
2017   ierr = PetscFree(atfill);CHKERRQ(ierr);
2018   ierr = MatCreateSeqAIJWithArrays(PetscObjectComm((PetscObject)A),an,am,ati,atj,NULL,B);CHKERRQ(ierr);
2019   ierr = MatSetBlockSizes(*B,PetscAbs(A->cmap->bs),PetscAbs(A->rmap->bs));CHKERRQ(ierr);
2020 
2021   b          = (Mat_SeqAIJ*)((*B)->data);
2022   b->free_a  = PETSC_FALSE;
2023   b->free_ij = PETSC_TRUE;
2024   b->nonew   = 0;
2025   PetscFunctionReturn(0);
2026 }
2027 
2028 PetscErrorCode MatTranspose_SeqAIJ(Mat A,MatReuse reuse,Mat *B)
2029 {
2030   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2031   Mat            C;
2032   PetscErrorCode ierr;
2033   PetscInt       i,*aj = a->j,*ai = a->i,m = A->rmap->n,len,*col;
2034   MatScalar      *array = a->a;
2035 
2036   PetscFunctionBegin;
2037   if (reuse == MAT_INPLACE_MATRIX && m != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Square matrix only for in-place");
2038 
2039   if (reuse == MAT_INITIAL_MATRIX || reuse == MAT_INPLACE_MATRIX) {
2040     ierr = PetscCalloc1(1+A->cmap->n,&col);CHKERRQ(ierr);
2041 
2042     for (i=0; i<ai[m]; i++) col[aj[i]] += 1;
2043     ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2044     ierr = MatSetSizes(C,A->cmap->n,m,A->cmap->n,m);CHKERRQ(ierr);
2045     ierr = MatSetBlockSizes(C,PetscAbs(A->cmap->bs),PetscAbs(A->rmap->bs));CHKERRQ(ierr);
2046     ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
2047     ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,col);CHKERRQ(ierr);
2048     ierr = PetscFree(col);CHKERRQ(ierr);
2049   } else {
2050     C = *B;
2051   }
2052 
2053   for (i=0; i<m; i++) {
2054     len    = ai[i+1]-ai[i];
2055     ierr   = MatSetValues_SeqAIJ(C,len,aj,1,&i,array,INSERT_VALUES);CHKERRQ(ierr);
2056     array += len;
2057     aj    += len;
2058   }
2059   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2060   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2061 
2062   if (reuse == MAT_INITIAL_MATRIX || reuse == MAT_REUSE_MATRIX) {
2063     *B = C;
2064   } else {
2065     ierr = MatHeaderMerge(A,&C);CHKERRQ(ierr);
2066   }
2067   PetscFunctionReturn(0);
2068 }
2069 
2070 PetscErrorCode  MatIsTranspose_SeqAIJ(Mat A,Mat B,PetscReal tol,PetscBool  *f)
2071 {
2072   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*) A->data,*bij = (Mat_SeqAIJ*) B->data;
2073   PetscInt       *adx,*bdx,*aii,*bii,*aptr,*bptr;
2074   MatScalar      *va,*vb;
2075   PetscErrorCode ierr;
2076   PetscInt       ma,na,mb,nb, i;
2077 
2078   PetscFunctionBegin;
2079   ierr = MatGetSize(A,&ma,&na);CHKERRQ(ierr);
2080   ierr = MatGetSize(B,&mb,&nb);CHKERRQ(ierr);
2081   if (ma!=nb || na!=mb) {
2082     *f = PETSC_FALSE;
2083     PetscFunctionReturn(0);
2084   }
2085   aii  = aij->i; bii = bij->i;
2086   adx  = aij->j; bdx = bij->j;
2087   va   = aij->a; vb = bij->a;
2088   ierr = PetscMalloc1(ma,&aptr);CHKERRQ(ierr);
2089   ierr = PetscMalloc1(mb,&bptr);CHKERRQ(ierr);
2090   for (i=0; i<ma; i++) aptr[i] = aii[i];
2091   for (i=0; i<mb; i++) bptr[i] = bii[i];
2092 
2093   *f = PETSC_TRUE;
2094   for (i=0; i<ma; i++) {
2095     while (aptr[i]<aii[i+1]) {
2096       PetscInt    idc,idr;
2097       PetscScalar vc,vr;
2098       /* column/row index/value */
2099       idc = adx[aptr[i]];
2100       idr = bdx[bptr[idc]];
2101       vc  = va[aptr[i]];
2102       vr  = vb[bptr[idc]];
2103       if (i!=idr || PetscAbsScalar(vc-vr) > tol) {
2104         *f = PETSC_FALSE;
2105         goto done;
2106       } else {
2107         aptr[i]++;
2108         if (B || i!=idc) bptr[idc]++;
2109       }
2110     }
2111   }
2112 done:
2113   ierr = PetscFree(aptr);CHKERRQ(ierr);
2114   ierr = PetscFree(bptr);CHKERRQ(ierr);
2115   PetscFunctionReturn(0);
2116 }
2117 
2118 PetscErrorCode  MatIsHermitianTranspose_SeqAIJ(Mat A,Mat B,PetscReal tol,PetscBool  *f)
2119 {
2120   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*) A->data,*bij = (Mat_SeqAIJ*) B->data;
2121   PetscInt       *adx,*bdx,*aii,*bii,*aptr,*bptr;
2122   MatScalar      *va,*vb;
2123   PetscErrorCode ierr;
2124   PetscInt       ma,na,mb,nb, i;
2125 
2126   PetscFunctionBegin;
2127   ierr = MatGetSize(A,&ma,&na);CHKERRQ(ierr);
2128   ierr = MatGetSize(B,&mb,&nb);CHKERRQ(ierr);
2129   if (ma!=nb || na!=mb) {
2130     *f = PETSC_FALSE;
2131     PetscFunctionReturn(0);
2132   }
2133   aii  = aij->i; bii = bij->i;
2134   adx  = aij->j; bdx = bij->j;
2135   va   = aij->a; vb = bij->a;
2136   ierr = PetscMalloc1(ma,&aptr);CHKERRQ(ierr);
2137   ierr = PetscMalloc1(mb,&bptr);CHKERRQ(ierr);
2138   for (i=0; i<ma; i++) aptr[i] = aii[i];
2139   for (i=0; i<mb; i++) bptr[i] = bii[i];
2140 
2141   *f = PETSC_TRUE;
2142   for (i=0; i<ma; i++) {
2143     while (aptr[i]<aii[i+1]) {
2144       PetscInt    idc,idr;
2145       PetscScalar vc,vr;
2146       /* column/row index/value */
2147       idc = adx[aptr[i]];
2148       idr = bdx[bptr[idc]];
2149       vc  = va[aptr[i]];
2150       vr  = vb[bptr[idc]];
2151       if (i!=idr || PetscAbsScalar(vc-PetscConj(vr)) > tol) {
2152         *f = PETSC_FALSE;
2153         goto done;
2154       } else {
2155         aptr[i]++;
2156         if (B || i!=idc) bptr[idc]++;
2157       }
2158     }
2159   }
2160 done:
2161   ierr = PetscFree(aptr);CHKERRQ(ierr);
2162   ierr = PetscFree(bptr);CHKERRQ(ierr);
2163   PetscFunctionReturn(0);
2164 }
2165 
2166 PetscErrorCode MatIsSymmetric_SeqAIJ(Mat A,PetscReal tol,PetscBool  *f)
2167 {
2168   PetscErrorCode ierr;
2169 
2170   PetscFunctionBegin;
2171   ierr = MatIsTranspose_SeqAIJ(A,A,tol,f);CHKERRQ(ierr);
2172   PetscFunctionReturn(0);
2173 }
2174 
2175 PetscErrorCode MatIsHermitian_SeqAIJ(Mat A,PetscReal tol,PetscBool  *f)
2176 {
2177   PetscErrorCode ierr;
2178 
2179   PetscFunctionBegin;
2180   ierr = MatIsHermitianTranspose_SeqAIJ(A,A,tol,f);CHKERRQ(ierr);
2181   PetscFunctionReturn(0);
2182 }
2183 
2184 PetscErrorCode MatDiagonalScale_SeqAIJ(Mat A,Vec ll,Vec rr)
2185 {
2186   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
2187   const PetscScalar *l,*r;
2188   PetscScalar       x;
2189   MatScalar         *v;
2190   PetscErrorCode    ierr;
2191   PetscInt          i,j,m = A->rmap->n,n = A->cmap->n,M,nz = a->nz;
2192   const PetscInt    *jj;
2193 
2194   PetscFunctionBegin;
2195   if (ll) {
2196     /* The local size is used so that VecMPI can be passed to this routine
2197        by MatDiagonalScale_MPIAIJ */
2198     ierr = VecGetLocalSize(ll,&m);CHKERRQ(ierr);
2199     if (m != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Left scaling vector wrong length");
2200     ierr = VecGetArrayRead(ll,&l);CHKERRQ(ierr);
2201     v    = a->a;
2202     for (i=0; i<m; i++) {
2203       x = l[i];
2204       M = a->i[i+1] - a->i[i];
2205       for (j=0; j<M; j++) (*v++) *= x;
2206     }
2207     ierr = VecRestoreArrayRead(ll,&l);CHKERRQ(ierr);
2208     ierr = PetscLogFlops(nz);CHKERRQ(ierr);
2209   }
2210   if (rr) {
2211     ierr = VecGetLocalSize(rr,&n);CHKERRQ(ierr);
2212     if (n != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Right scaling vector wrong length");
2213     ierr = VecGetArrayRead(rr,&r);CHKERRQ(ierr);
2214     v    = a->a; jj = a->j;
2215     for (i=0; i<nz; i++) (*v++) *= r[*jj++];
2216     ierr = VecRestoreArrayRead(rr,&r);CHKERRQ(ierr);
2217     ierr = PetscLogFlops(nz);CHKERRQ(ierr);
2218   }
2219   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
2220   PetscFunctionReturn(0);
2221 }
2222 
2223 PetscErrorCode MatCreateSubMatrix_SeqAIJ(Mat A,IS isrow,IS iscol,PetscInt csize,MatReuse scall,Mat *B)
2224 {
2225   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data,*c;
2226   PetscErrorCode ierr;
2227   PetscInt       *smap,i,k,kstart,kend,oldcols = A->cmap->n,*lens;
2228   PetscInt       row,mat_i,*mat_j,tcol,first,step,*mat_ilen,sum,lensi;
2229   const PetscInt *irow,*icol;
2230   PetscInt       nrows,ncols;
2231   PetscInt       *starts,*j_new,*i_new,*aj = a->j,*ai = a->i,ii,*ailen = a->ilen;
2232   MatScalar      *a_new,*mat_a;
2233   Mat            C;
2234   PetscBool      stride;
2235 
2236   PetscFunctionBegin;
2237 
2238   ierr = ISGetIndices(isrow,&irow);CHKERRQ(ierr);
2239   ierr = ISGetLocalSize(isrow,&nrows);CHKERRQ(ierr);
2240   ierr = ISGetLocalSize(iscol,&ncols);CHKERRQ(ierr);
2241 
2242   ierr = PetscObjectTypeCompare((PetscObject)iscol,ISSTRIDE,&stride);CHKERRQ(ierr);
2243   if (stride) {
2244     ierr = ISStrideGetInfo(iscol,&first,&step);CHKERRQ(ierr);
2245   } else {
2246     first = 0;
2247     step  = 0;
2248   }
2249   if (stride && step == 1) {
2250     /* special case of contiguous rows */
2251     ierr = PetscMalloc2(nrows,&lens,nrows,&starts);CHKERRQ(ierr);
2252     /* loop over new rows determining lens and starting points */
2253     for (i=0; i<nrows; i++) {
2254       kstart = ai[irow[i]];
2255       kend   = kstart + ailen[irow[i]];
2256       starts[i] = kstart;
2257       for (k=kstart; k<kend; k++) {
2258         if (aj[k] >= first) {
2259           starts[i] = k;
2260           break;
2261         }
2262       }
2263       sum = 0;
2264       while (k < kend) {
2265         if (aj[k++] >= first+ncols) break;
2266         sum++;
2267       }
2268       lens[i] = sum;
2269     }
2270     /* create submatrix */
2271     if (scall == MAT_REUSE_MATRIX) {
2272       PetscInt n_cols,n_rows;
2273       ierr = MatGetSize(*B,&n_rows,&n_cols);CHKERRQ(ierr);
2274       if (n_rows != nrows || n_cols != ncols) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Reused submatrix wrong size");
2275       ierr = MatZeroEntries(*B);CHKERRQ(ierr);
2276       C    = *B;
2277     } else {
2278       PetscInt rbs,cbs;
2279       ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2280       ierr = MatSetSizes(C,nrows,ncols,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
2281       ierr = ISGetBlockSize(isrow,&rbs);CHKERRQ(ierr);
2282       ierr = ISGetBlockSize(iscol,&cbs);CHKERRQ(ierr);
2283       ierr = MatSetBlockSizes(C,rbs,cbs);CHKERRQ(ierr);
2284       ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
2285       ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,lens);CHKERRQ(ierr);
2286     }
2287     c = (Mat_SeqAIJ*)C->data;
2288 
2289     /* loop over rows inserting into submatrix */
2290     a_new = c->a;
2291     j_new = c->j;
2292     i_new = c->i;
2293 
2294     for (i=0; i<nrows; i++) {
2295       ii    = starts[i];
2296       lensi = lens[i];
2297       for (k=0; k<lensi; k++) {
2298         *j_new++ = aj[ii+k] - first;
2299       }
2300       ierr       = PetscMemcpy(a_new,a->a + starts[i],lensi*sizeof(PetscScalar));CHKERRQ(ierr);
2301       a_new     += lensi;
2302       i_new[i+1] = i_new[i] + lensi;
2303       c->ilen[i] = lensi;
2304     }
2305     ierr = PetscFree2(lens,starts);CHKERRQ(ierr);
2306   } else {
2307     ierr = ISGetIndices(iscol,&icol);CHKERRQ(ierr);
2308     ierr = PetscCalloc1(oldcols,&smap);CHKERRQ(ierr);
2309     ierr = PetscMalloc1(1+nrows,&lens);CHKERRQ(ierr);
2310     for (i=0; i<ncols; i++) {
2311 #if defined(PETSC_USE_DEBUG)
2312       if (icol[i] >= oldcols) SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Requesting column beyond largest column icol[%D] %D <= A->cmap->n %D",i,icol[i],oldcols);
2313 #endif
2314       smap[icol[i]] = i+1;
2315     }
2316 
2317     /* determine lens of each row */
2318     for (i=0; i<nrows; i++) {
2319       kstart  = ai[irow[i]];
2320       kend    = kstart + a->ilen[irow[i]];
2321       lens[i] = 0;
2322       for (k=kstart; k<kend; k++) {
2323         if (smap[aj[k]]) {
2324           lens[i]++;
2325         }
2326       }
2327     }
2328     /* Create and fill new matrix */
2329     if (scall == MAT_REUSE_MATRIX) {
2330       PetscBool equal;
2331 
2332       c = (Mat_SeqAIJ*)((*B)->data);
2333       if ((*B)->rmap->n  != nrows || (*B)->cmap->n != ncols) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. wrong size");
2334       ierr = PetscMemcmp(c->ilen,lens,(*B)->rmap->n*sizeof(PetscInt),&equal);CHKERRQ(ierr);
2335       if (!equal) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. wrong no of nonzeros");
2336       ierr = PetscMemzero(c->ilen,(*B)->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);
2337       C    = *B;
2338     } else {
2339       PetscInt rbs,cbs;
2340       ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2341       ierr = MatSetSizes(C,nrows,ncols,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
2342       ierr = ISGetBlockSize(isrow,&rbs);CHKERRQ(ierr);
2343       ierr = ISGetBlockSize(iscol,&cbs);CHKERRQ(ierr);
2344       ierr = MatSetBlockSizes(C,rbs,cbs);CHKERRQ(ierr);
2345       ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
2346       ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,lens);CHKERRQ(ierr);
2347     }
2348     c = (Mat_SeqAIJ*)(C->data);
2349     for (i=0; i<nrows; i++) {
2350       row      = irow[i];
2351       kstart   = ai[row];
2352       kend     = kstart + a->ilen[row];
2353       mat_i    = c->i[i];
2354       mat_j    = c->j + mat_i;
2355       mat_a    = c->a + mat_i;
2356       mat_ilen = c->ilen + i;
2357       for (k=kstart; k<kend; k++) {
2358         if ((tcol=smap[a->j[k]])) {
2359           *mat_j++ = tcol - 1;
2360           *mat_a++ = a->a[k];
2361           (*mat_ilen)++;
2362 
2363         }
2364       }
2365     }
2366     /* Free work space */
2367     ierr = ISRestoreIndices(iscol,&icol);CHKERRQ(ierr);
2368     ierr = PetscFree(smap);CHKERRQ(ierr);
2369     ierr = PetscFree(lens);CHKERRQ(ierr);
2370     /* sort */
2371     for (i = 0; i < nrows; i++) {
2372       PetscInt ilen;
2373 
2374       mat_i = c->i[i];
2375       mat_j = c->j + mat_i;
2376       mat_a = c->a + mat_i;
2377       ilen  = c->ilen[i];
2378       ierr  = PetscSortIntWithScalarArray(ilen,mat_j,mat_a);CHKERRQ(ierr);
2379     }
2380   }
2381   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2382   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2383 
2384   ierr = ISRestoreIndices(isrow,&irow);CHKERRQ(ierr);
2385   *B   = C;
2386   PetscFunctionReturn(0);
2387 }
2388 
2389 PetscErrorCode  MatGetMultiProcBlock_SeqAIJ(Mat mat,MPI_Comm subComm,MatReuse scall,Mat *subMat)
2390 {
2391   PetscErrorCode ierr;
2392   Mat            B;
2393 
2394   PetscFunctionBegin;
2395   if (scall == MAT_INITIAL_MATRIX) {
2396     ierr    = MatCreate(subComm,&B);CHKERRQ(ierr);
2397     ierr    = MatSetSizes(B,mat->rmap->n,mat->cmap->n,mat->rmap->n,mat->cmap->n);CHKERRQ(ierr);
2398     ierr    = MatSetBlockSizesFromMats(B,mat,mat);CHKERRQ(ierr);
2399     ierr    = MatSetType(B,MATSEQAIJ);CHKERRQ(ierr);
2400     ierr    = MatDuplicateNoCreate_SeqAIJ(B,mat,MAT_COPY_VALUES,PETSC_TRUE);CHKERRQ(ierr);
2401     *subMat = B;
2402   } else {
2403     ierr = MatCopy_SeqAIJ(mat,*subMat,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
2404   }
2405   PetscFunctionReturn(0);
2406 }
2407 
2408 PetscErrorCode MatILUFactor_SeqAIJ(Mat inA,IS row,IS col,const MatFactorInfo *info)
2409 {
2410   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)inA->data;
2411   PetscErrorCode ierr;
2412   Mat            outA;
2413   PetscBool      row_identity,col_identity;
2414 
2415   PetscFunctionBegin;
2416   if (info->levels != 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only levels=0 supported for in-place ilu");
2417 
2418   ierr = ISIdentity(row,&row_identity);CHKERRQ(ierr);
2419   ierr = ISIdentity(col,&col_identity);CHKERRQ(ierr);
2420 
2421   outA             = inA;
2422   outA->factortype = MAT_FACTOR_LU;
2423   ierr = PetscFree(inA->solvertype);CHKERRQ(ierr);
2424   ierr = PetscStrallocpy(MATSOLVERPETSC,&inA->solvertype);CHKERRQ(ierr);
2425 
2426   ierr = PetscObjectReference((PetscObject)row);CHKERRQ(ierr);
2427   ierr = ISDestroy(&a->row);CHKERRQ(ierr);
2428 
2429   a->row = row;
2430 
2431   ierr = PetscObjectReference((PetscObject)col);CHKERRQ(ierr);
2432   ierr = ISDestroy(&a->col);CHKERRQ(ierr);
2433 
2434   a->col = col;
2435 
2436   /* Create the inverse permutation so that it can be used in MatLUFactorNumeric() */
2437   ierr = ISDestroy(&a->icol);CHKERRQ(ierr);
2438   ierr = ISInvertPermutation(col,PETSC_DECIDE,&a->icol);CHKERRQ(ierr);
2439   ierr = PetscLogObjectParent((PetscObject)inA,(PetscObject)a->icol);CHKERRQ(ierr);
2440 
2441   if (!a->solve_work) { /* this matrix may have been factored before */
2442     ierr = PetscMalloc1(inA->rmap->n+1,&a->solve_work);CHKERRQ(ierr);
2443     ierr = PetscLogObjectMemory((PetscObject)inA, (inA->rmap->n+1)*sizeof(PetscScalar));CHKERRQ(ierr);
2444   }
2445 
2446   ierr = MatMarkDiagonal_SeqAIJ(inA);CHKERRQ(ierr);
2447   if (row_identity && col_identity) {
2448     ierr = MatLUFactorNumeric_SeqAIJ_inplace(outA,inA,info);CHKERRQ(ierr);
2449   } else {
2450     ierr = MatLUFactorNumeric_SeqAIJ_InplaceWithPerm(outA,inA,info);CHKERRQ(ierr);
2451   }
2452   PetscFunctionReturn(0);
2453 }
2454 
2455 PetscErrorCode MatScale_SeqAIJ(Mat inA,PetscScalar alpha)
2456 {
2457   Mat_SeqAIJ     *a     = (Mat_SeqAIJ*)inA->data;
2458   PetscScalar    oalpha = alpha;
2459   PetscErrorCode ierr;
2460   PetscBLASInt   one = 1,bnz;
2461 
2462   PetscFunctionBegin;
2463   ierr = PetscBLASIntCast(a->nz,&bnz);CHKERRQ(ierr);
2464   PetscStackCallBLAS("BLASscal",BLASscal_(&bnz,&oalpha,a->a,&one));
2465   ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
2466   ierr = MatSeqAIJInvalidateDiagonal(inA);CHKERRQ(ierr);
2467   PetscFunctionReturn(0);
2468 }
2469 
2470 PetscErrorCode MatDestroySubMatrices_Private(Mat_SubSppt *submatj)
2471 {
2472   PetscErrorCode ierr;
2473   PetscInt       i;
2474 
2475   PetscFunctionBegin;
2476   if (!submatj->id) { /* delete data that are linked only to submats[id=0] */
2477     ierr = PetscFree4(submatj->sbuf1,submatj->ptr,submatj->tmp,submatj->ctr);CHKERRQ(ierr);
2478 
2479     for (i=0; i<submatj->nrqr; ++i) {
2480       ierr = PetscFree(submatj->sbuf2[i]);CHKERRQ(ierr);
2481     }
2482     ierr = PetscFree3(submatj->sbuf2,submatj->req_size,submatj->req_source1);CHKERRQ(ierr);
2483 
2484     if (submatj->rbuf1) {
2485       ierr = PetscFree(submatj->rbuf1[0]);CHKERRQ(ierr);
2486       ierr = PetscFree(submatj->rbuf1);CHKERRQ(ierr);
2487     }
2488 
2489     for (i=0; i<submatj->nrqs; ++i) {
2490       ierr = PetscFree(submatj->rbuf3[i]);CHKERRQ(ierr);
2491     }
2492     ierr = PetscFree3(submatj->req_source2,submatj->rbuf2,submatj->rbuf3);CHKERRQ(ierr);
2493     ierr = PetscFree(submatj->pa);CHKERRQ(ierr);
2494   }
2495 
2496 #if defined(PETSC_USE_CTABLE)
2497   ierr = PetscTableDestroy((PetscTable*)&submatj->rmap);CHKERRQ(ierr);
2498   if (submatj->cmap_loc) {ierr = PetscFree(submatj->cmap_loc);CHKERRQ(ierr);}
2499   ierr = PetscFree(submatj->rmap_loc);CHKERRQ(ierr);
2500 #else
2501   ierr = PetscFree(submatj->rmap);CHKERRQ(ierr);
2502 #endif
2503 
2504   if (!submatj->allcolumns) {
2505 #if defined(PETSC_USE_CTABLE)
2506     ierr = PetscTableDestroy((PetscTable*)&submatj->cmap);CHKERRQ(ierr);
2507 #else
2508     ierr = PetscFree(submatj->cmap);CHKERRQ(ierr);
2509 #endif
2510   }
2511   ierr = PetscFree(submatj->row2proc);CHKERRQ(ierr);
2512 
2513   ierr = PetscFree(submatj);CHKERRQ(ierr);
2514   PetscFunctionReturn(0);
2515 }
2516 
2517 PetscErrorCode MatDestroy_SeqAIJ_Submatrices(Mat C)
2518 {
2519   PetscErrorCode ierr;
2520   Mat_SeqAIJ     *c = (Mat_SeqAIJ*)C->data;
2521   Mat_SubSppt    *submatj = c->submatis1;
2522 
2523   PetscFunctionBegin;
2524   printf("MatDestroy_SeqAIJ_Submatrices...\n");
2525   ierr = submatj->destroy(C);CHKERRQ(ierr);
2526   ierr = MatDestroySubMatrices_Private(submatj);CHKERRQ(ierr);
2527   PetscFunctionReturn(0);
2528 }
2529 
2530 PetscErrorCode MatDestroySubMatrices_SeqAIJ(PetscInt n,Mat *mat[])
2531 {
2532   PetscErrorCode ierr;
2533   PetscInt       i;
2534 
2535   PetscFunctionBegin;
2536   /* Destroy dummy submatrices (*mat)[n]...(*mat)[n+nstages-1] used for reuse struct Mat_SubSppt */
2537   if ((*mat)[n]) {
2538     PetscBool      isdummy;
2539     ierr = PetscObjectTypeCompare((PetscObject)(*mat)[n],MATDUMMY,&isdummy);CHKERRQ(ierr);
2540     if (isdummy) {
2541       Mat_SubSppt* smat = (Mat_SubSppt*)((*mat)[n]->data); /* singleis and nstages are saved in (*mat)[n]->data */
2542       printf("isdummy ...\n");
2543       if (smat && !smat->singleis) {
2544         PetscInt i,nstages=smat->nstages;
2545         for (i=0; i<nstages; i++) {
2546           ierr = MatDestroy(&(*mat)[n+i]);CHKERRQ(ierr);
2547         }
2548       }
2549     }
2550   }
2551 
2552   for (i=0; i<n; i++) {
2553     Mat C=(*mat)[i];
2554     Mat_SeqAIJ  *c = (Mat_SeqAIJ*)C->data;
2555     Mat_SubSppt *submatj = c->submatis1;
2556 
2557     if (submatj) {
2558       ierr = submatj->destroy(C);CHKERRQ(ierr);
2559       ierr = MatDestroySubMatrices_Private(submatj);CHKERRQ(ierr);
2560       ierr = PetscLayoutDestroy(&C->rmap);CHKERRQ(ierr);
2561       ierr = PetscLayoutDestroy(&C->cmap);CHKERRQ(ierr);
2562       ierr = PetscHeaderDestroy(&C);CHKERRQ(ierr);
2563     } else {
2564       ierr = MatDestroy(&C);CHKERRQ(ierr);
2565     }
2566   }
2567   ierr = PetscFree(*mat);CHKERRQ(ierr);
2568   PetscFunctionReturn(0);
2569 }
2570 
2571 PetscErrorCode MatCreateSubMatrices_SeqAIJ(Mat A,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *B[])
2572 {
2573   PetscErrorCode ierr;
2574   PetscInt       i;
2575 
2576   PetscFunctionBegin;
2577   if (scall == MAT_INITIAL_MATRIX) {
2578     ierr = PetscCalloc1(n+1,B);CHKERRQ(ierr);
2579   }
2580 
2581   for (i=0; i<n; i++) {
2582     ierr = MatCreateSubMatrix_SeqAIJ(A,irow[i],icol[i],PETSC_DECIDE,scall,&(*B)[i]);CHKERRQ(ierr);
2583   }
2584   PetscFunctionReturn(0);
2585 }
2586 
2587 PetscErrorCode MatIncreaseOverlap_SeqAIJ(Mat A,PetscInt is_max,IS is[],PetscInt ov)
2588 {
2589   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2590   PetscErrorCode ierr;
2591   PetscInt       row,i,j,k,l,m,n,*nidx,isz,val;
2592   const PetscInt *idx;
2593   PetscInt       start,end,*ai,*aj;
2594   PetscBT        table;
2595 
2596   PetscFunctionBegin;
2597   m  = A->rmap->n;
2598   ai = a->i;
2599   aj = a->j;
2600 
2601   if (ov < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"illegal negative overlap value used");
2602 
2603   ierr = PetscMalloc1(m+1,&nidx);CHKERRQ(ierr);
2604   ierr = PetscBTCreate(m,&table);CHKERRQ(ierr);
2605 
2606   for (i=0; i<is_max; i++) {
2607     /* Initialize the two local arrays */
2608     isz  = 0;
2609     ierr = PetscBTMemzero(m,table);CHKERRQ(ierr);
2610 
2611     /* Extract the indices, assume there can be duplicate entries */
2612     ierr = ISGetIndices(is[i],&idx);CHKERRQ(ierr);
2613     ierr = ISGetLocalSize(is[i],&n);CHKERRQ(ierr);
2614 
2615     /* Enter these into the temp arrays. I.e., mark table[row], enter row into new index */
2616     for (j=0; j<n; ++j) {
2617       if (!PetscBTLookupSet(table,idx[j])) nidx[isz++] = idx[j];
2618     }
2619     ierr = ISRestoreIndices(is[i],&idx);CHKERRQ(ierr);
2620     ierr = ISDestroy(&is[i]);CHKERRQ(ierr);
2621 
2622     k = 0;
2623     for (j=0; j<ov; j++) { /* for each overlap */
2624       n = isz;
2625       for (; k<n; k++) { /* do only those rows in nidx[k], which are not done yet */
2626         row   = nidx[k];
2627         start = ai[row];
2628         end   = ai[row+1];
2629         for (l = start; l<end; l++) {
2630           val = aj[l];
2631           if (!PetscBTLookupSet(table,val)) nidx[isz++] = val;
2632         }
2633       }
2634     }
2635     ierr = ISCreateGeneral(PETSC_COMM_SELF,isz,nidx,PETSC_COPY_VALUES,(is+i));CHKERRQ(ierr);
2636   }
2637   ierr = PetscBTDestroy(&table);CHKERRQ(ierr);
2638   ierr = PetscFree(nidx);CHKERRQ(ierr);
2639   PetscFunctionReturn(0);
2640 }
2641 
2642 /* -------------------------------------------------------------- */
2643 PetscErrorCode MatPermute_SeqAIJ(Mat A,IS rowp,IS colp,Mat *B)
2644 {
2645   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2646   PetscErrorCode ierr;
2647   PetscInt       i,nz = 0,m = A->rmap->n,n = A->cmap->n;
2648   const PetscInt *row,*col;
2649   PetscInt       *cnew,j,*lens;
2650   IS             icolp,irowp;
2651   PetscInt       *cwork = NULL;
2652   PetscScalar    *vwork = NULL;
2653 
2654   PetscFunctionBegin;
2655   ierr = ISInvertPermutation(rowp,PETSC_DECIDE,&irowp);CHKERRQ(ierr);
2656   ierr = ISGetIndices(irowp,&row);CHKERRQ(ierr);
2657   ierr = ISInvertPermutation(colp,PETSC_DECIDE,&icolp);CHKERRQ(ierr);
2658   ierr = ISGetIndices(icolp,&col);CHKERRQ(ierr);
2659 
2660   /* determine lengths of permuted rows */
2661   ierr = PetscMalloc1(m+1,&lens);CHKERRQ(ierr);
2662   for (i=0; i<m; i++) lens[row[i]] = a->i[i+1] - a->i[i];
2663   ierr = MatCreate(PetscObjectComm((PetscObject)A),B);CHKERRQ(ierr);
2664   ierr = MatSetSizes(*B,m,n,m,n);CHKERRQ(ierr);
2665   ierr = MatSetBlockSizesFromMats(*B,A,A);CHKERRQ(ierr);
2666   ierr = MatSetType(*B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2667   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*B,0,lens);CHKERRQ(ierr);
2668   ierr = PetscFree(lens);CHKERRQ(ierr);
2669 
2670   ierr = PetscMalloc1(n,&cnew);CHKERRQ(ierr);
2671   for (i=0; i<m; i++) {
2672     ierr = MatGetRow_SeqAIJ(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
2673     for (j=0; j<nz; j++) cnew[j] = col[cwork[j]];
2674     ierr = MatSetValues_SeqAIJ(*B,1,&row[i],nz,cnew,vwork,INSERT_VALUES);CHKERRQ(ierr);
2675     ierr = MatRestoreRow_SeqAIJ(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
2676   }
2677   ierr = PetscFree(cnew);CHKERRQ(ierr);
2678 
2679   (*B)->assembled = PETSC_FALSE;
2680 
2681   ierr = MatAssemblyBegin(*B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2682   ierr = MatAssemblyEnd(*B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2683   ierr = ISRestoreIndices(irowp,&row);CHKERRQ(ierr);
2684   ierr = ISRestoreIndices(icolp,&col);CHKERRQ(ierr);
2685   ierr = ISDestroy(&irowp);CHKERRQ(ierr);
2686   ierr = ISDestroy(&icolp);CHKERRQ(ierr);
2687   PetscFunctionReturn(0);
2688 }
2689 
2690 PetscErrorCode MatCopy_SeqAIJ(Mat A,Mat B,MatStructure str)
2691 {
2692   PetscErrorCode ierr;
2693 
2694   PetscFunctionBegin;
2695   /* If the two matrices have the same copy implementation, use fast copy. */
2696   if (str == SAME_NONZERO_PATTERN && (A->ops->copy == B->ops->copy)) {
2697     Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
2698     Mat_SeqAIJ *b = (Mat_SeqAIJ*)B->data;
2699 
2700     if (a->i[A->rmap->n] != b->i[B->rmap->n]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Number of nonzeros in two matrices are different");
2701     ierr = PetscMemcpy(b->a,a->a,(a->i[A->rmap->n])*sizeof(PetscScalar));CHKERRQ(ierr);
2702     ierr = PetscObjectStateIncrease((PetscObject)B);CHKERRQ(ierr);
2703   } else {
2704     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
2705   }
2706   PetscFunctionReturn(0);
2707 }
2708 
2709 PetscErrorCode MatSetUp_SeqAIJ(Mat A)
2710 {
2711   PetscErrorCode ierr;
2712 
2713   PetscFunctionBegin;
2714   ierr =  MatSeqAIJSetPreallocation_SeqAIJ(A,PETSC_DEFAULT,0);CHKERRQ(ierr);
2715   PetscFunctionReturn(0);
2716 }
2717 
2718 PetscErrorCode MatSeqAIJGetArray_SeqAIJ(Mat A,PetscScalar *array[])
2719 {
2720   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
2721 
2722   PetscFunctionBegin;
2723   *array = a->a;
2724   PetscFunctionReturn(0);
2725 }
2726 
2727 PetscErrorCode MatSeqAIJRestoreArray_SeqAIJ(Mat A,PetscScalar *array[])
2728 {
2729   PetscFunctionBegin;
2730   PetscFunctionReturn(0);
2731 }
2732 
2733 /*
2734    Computes the number of nonzeros per row needed for preallocation when X and Y
2735    have different nonzero structure.
2736 */
2737 PetscErrorCode MatAXPYGetPreallocation_SeqX_private(PetscInt m,const PetscInt *xi,const PetscInt *xj,const PetscInt *yi,const PetscInt *yj,PetscInt *nnz)
2738 {
2739   PetscInt       i,j,k,nzx,nzy;
2740 
2741   PetscFunctionBegin;
2742   /* Set the number of nonzeros in the new matrix */
2743   for (i=0; i<m; i++) {
2744     const PetscInt *xjj = xj+xi[i],*yjj = yj+yi[i];
2745     nzx = xi[i+1] - xi[i];
2746     nzy = yi[i+1] - yi[i];
2747     nnz[i] = 0;
2748     for (j=0,k=0; j<nzx; j++) {                   /* Point in X */
2749       for (; k<nzy && yjj[k]<xjj[j]; k++) nnz[i]++; /* Catch up to X */
2750       if (k<nzy && yjj[k]==xjj[j]) k++;             /* Skip duplicate */
2751       nnz[i]++;
2752     }
2753     for (; k<nzy; k++) nnz[i]++;
2754   }
2755   PetscFunctionReturn(0);
2756 }
2757 
2758 PetscErrorCode MatAXPYGetPreallocation_SeqAIJ(Mat Y,Mat X,PetscInt *nnz)
2759 {
2760   PetscInt       m = Y->rmap->N;
2761   Mat_SeqAIJ     *x = (Mat_SeqAIJ*)X->data;
2762   Mat_SeqAIJ     *y = (Mat_SeqAIJ*)Y->data;
2763   PetscErrorCode ierr;
2764 
2765   PetscFunctionBegin;
2766   /* Set the number of nonzeros in the new matrix */
2767   ierr = MatAXPYGetPreallocation_SeqX_private(m,x->i,x->j,y->i,y->j,nnz);CHKERRQ(ierr);
2768   PetscFunctionReturn(0);
2769 }
2770 
2771 PetscErrorCode MatAXPY_SeqAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
2772 {
2773   PetscErrorCode ierr;
2774   Mat_SeqAIJ     *x = (Mat_SeqAIJ*)X->data,*y = (Mat_SeqAIJ*)Y->data;
2775   PetscBLASInt   one=1,bnz;
2776 
2777   PetscFunctionBegin;
2778   ierr = PetscBLASIntCast(x->nz,&bnz);CHKERRQ(ierr);
2779   if (str == SAME_NONZERO_PATTERN) {
2780     PetscScalar alpha = a;
2781     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
2782     ierr = MatSeqAIJInvalidateDiagonal(Y);CHKERRQ(ierr);
2783     ierr = PetscObjectStateIncrease((PetscObject)Y);CHKERRQ(ierr);
2784   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
2785     ierr = MatAXPY_Basic(Y,a,X,str);CHKERRQ(ierr);
2786   } else {
2787     Mat      B;
2788     PetscInt *nnz;
2789     ierr = PetscMalloc1(Y->rmap->N,&nnz);CHKERRQ(ierr);
2790     ierr = MatCreate(PetscObjectComm((PetscObject)Y),&B);CHKERRQ(ierr);
2791     ierr = PetscObjectSetName((PetscObject)B,((PetscObject)Y)->name);CHKERRQ(ierr);
2792     ierr = MatSetSizes(B,Y->rmap->n,Y->cmap->n,Y->rmap->N,Y->cmap->N);CHKERRQ(ierr);
2793     ierr = MatSetBlockSizesFromMats(B,Y,Y);CHKERRQ(ierr);
2794     ierr = MatSetType(B,(MatType) ((PetscObject)Y)->type_name);CHKERRQ(ierr);
2795     ierr = MatAXPYGetPreallocation_SeqAIJ(Y,X,nnz);CHKERRQ(ierr);
2796     ierr = MatSeqAIJSetPreallocation(B,0,nnz);CHKERRQ(ierr);
2797     ierr = MatAXPY_BasicWithPreallocation(B,Y,a,X,str);CHKERRQ(ierr);
2798     ierr = MatHeaderReplace(Y,&B);CHKERRQ(ierr);
2799     ierr = PetscFree(nnz);CHKERRQ(ierr);
2800   }
2801   PetscFunctionReturn(0);
2802 }
2803 
2804 PetscErrorCode  MatConjugate_SeqAIJ(Mat mat)
2805 {
2806 #if defined(PETSC_USE_COMPLEX)
2807   Mat_SeqAIJ  *aij = (Mat_SeqAIJ*)mat->data;
2808   PetscInt    i,nz;
2809   PetscScalar *a;
2810 
2811   PetscFunctionBegin;
2812   nz = aij->nz;
2813   a  = aij->a;
2814   for (i=0; i<nz; i++) a[i] = PetscConj(a[i]);
2815 #else
2816   PetscFunctionBegin;
2817 #endif
2818   PetscFunctionReturn(0);
2819 }
2820 
2821 PetscErrorCode MatGetRowMaxAbs_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2822 {
2823   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2824   PetscErrorCode ierr;
2825   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
2826   PetscReal      atmp;
2827   PetscScalar    *x;
2828   MatScalar      *aa;
2829 
2830   PetscFunctionBegin;
2831   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2832   aa = a->a;
2833   ai = a->i;
2834   aj = a->j;
2835 
2836   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2837   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2838   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2839   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2840   for (i=0; i<m; i++) {
2841     ncols = ai[1] - ai[0]; ai++;
2842     x[i]  = 0.0;
2843     for (j=0; j<ncols; j++) {
2844       atmp = PetscAbsScalar(*aa);
2845       if (PetscAbsScalar(x[i]) < atmp) {x[i] = atmp; if (idx) idx[i] = *aj;}
2846       aa++; aj++;
2847     }
2848   }
2849   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2850   PetscFunctionReturn(0);
2851 }
2852 
2853 PetscErrorCode MatGetRowMax_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2854 {
2855   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2856   PetscErrorCode ierr;
2857   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
2858   PetscScalar    *x;
2859   MatScalar      *aa;
2860 
2861   PetscFunctionBegin;
2862   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2863   aa = a->a;
2864   ai = a->i;
2865   aj = a->j;
2866 
2867   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2868   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2869   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2870   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2871   for (i=0; i<m; i++) {
2872     ncols = ai[1] - ai[0]; ai++;
2873     if (ncols == A->cmap->n) { /* row is dense */
2874       x[i] = *aa; if (idx) idx[i] = 0;
2875     } else {  /* row is sparse so already KNOW maximum is 0.0 or higher */
2876       x[i] = 0.0;
2877       if (idx) {
2878         idx[i] = 0; /* in case ncols is zero */
2879         for (j=0;j<ncols;j++) { /* find first implicit 0.0 in the row */
2880           if (aj[j] > j) {
2881             idx[i] = j;
2882             break;
2883           }
2884         }
2885       }
2886     }
2887     for (j=0; j<ncols; j++) {
2888       if (PetscRealPart(x[i]) < PetscRealPart(*aa)) {x[i] = *aa; if (idx) idx[i] = *aj;}
2889       aa++; aj++;
2890     }
2891   }
2892   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2893   PetscFunctionReturn(0);
2894 }
2895 
2896 PetscErrorCode MatGetRowMinAbs_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2897 {
2898   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2899   PetscErrorCode ierr;
2900   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
2901   PetscReal      atmp;
2902   PetscScalar    *x;
2903   MatScalar      *aa;
2904 
2905   PetscFunctionBegin;
2906   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2907   aa = a->a;
2908   ai = a->i;
2909   aj = a->j;
2910 
2911   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2912   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2913   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2914   if (n != A->rmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector, %D vs. %D rows", A->rmap->n, n);
2915   for (i=0; i<m; i++) {
2916     ncols = ai[1] - ai[0]; ai++;
2917     if (ncols) {
2918       /* Get first nonzero */
2919       for (j = 0; j < ncols; j++) {
2920         atmp = PetscAbsScalar(aa[j]);
2921         if (atmp > 1.0e-12) {
2922           x[i] = atmp;
2923           if (idx) idx[i] = aj[j];
2924           break;
2925         }
2926       }
2927       if (j == ncols) {x[i] = PetscAbsScalar(*aa); if (idx) idx[i] = *aj;}
2928     } else {
2929       x[i] = 0.0; if (idx) idx[i] = 0;
2930     }
2931     for (j = 0; j < ncols; j++) {
2932       atmp = PetscAbsScalar(*aa);
2933       if (atmp > 1.0e-12 && PetscAbsScalar(x[i]) > atmp) {x[i] = atmp; if (idx) idx[i] = *aj;}
2934       aa++; aj++;
2935     }
2936   }
2937   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2938   PetscFunctionReturn(0);
2939 }
2940 
2941 PetscErrorCode MatGetRowMin_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2942 {
2943   Mat_SeqAIJ      *a = (Mat_SeqAIJ*)A->data;
2944   PetscErrorCode  ierr;
2945   PetscInt        i,j,m = A->rmap->n,ncols,n;
2946   const PetscInt  *ai,*aj;
2947   PetscScalar     *x;
2948   const MatScalar *aa;
2949 
2950   PetscFunctionBegin;
2951   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2952   aa = a->a;
2953   ai = a->i;
2954   aj = a->j;
2955 
2956   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2957   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2958   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2959   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2960   for (i=0; i<m; i++) {
2961     ncols = ai[1] - ai[0]; ai++;
2962     if (ncols == A->cmap->n) { /* row is dense */
2963       x[i] = *aa; if (idx) idx[i] = 0;
2964     } else {  /* row is sparse so already KNOW minimum is 0.0 or lower */
2965       x[i] = 0.0;
2966       if (idx) {   /* find first implicit 0.0 in the row */
2967         idx[i] = 0; /* in case ncols is zero */
2968         for (j=0; j<ncols; j++) {
2969           if (aj[j] > j) {
2970             idx[i] = j;
2971             break;
2972           }
2973         }
2974       }
2975     }
2976     for (j=0; j<ncols; j++) {
2977       if (PetscRealPart(x[i]) > PetscRealPart(*aa)) {x[i] = *aa; if (idx) idx[i] = *aj;}
2978       aa++; aj++;
2979     }
2980   }
2981   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2982   PetscFunctionReturn(0);
2983 }
2984 
2985 #include <petscblaslapack.h>
2986 #include <petsc/private/kernels/blockinvert.h>
2987 
2988 PetscErrorCode MatInvertBlockDiagonal_SeqAIJ(Mat A,const PetscScalar **values)
2989 {
2990   Mat_SeqAIJ     *a = (Mat_SeqAIJ*) A->data;
2991   PetscErrorCode ierr;
2992   PetscInt       i,bs = PetscAbs(A->rmap->bs),mbs = A->rmap->n/bs,ipvt[5],bs2 = bs*bs,*v_pivots,ij[7],*IJ,j;
2993   MatScalar      *diag,work[25],*v_work;
2994   PetscReal      shift = 0.0;
2995   PetscBool      allowzeropivot,zeropivotdetected=PETSC_FALSE;
2996 
2997   PetscFunctionBegin;
2998   allowzeropivot = PetscNot(A->erroriffailure);
2999   if (a->ibdiagvalid) {
3000     if (values) *values = a->ibdiag;
3001     PetscFunctionReturn(0);
3002   }
3003   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
3004   if (!a->ibdiag) {
3005     ierr = PetscMalloc1(bs2*mbs,&a->ibdiag);CHKERRQ(ierr);
3006     ierr = PetscLogObjectMemory((PetscObject)A,bs2*mbs*sizeof(PetscScalar));CHKERRQ(ierr);
3007   }
3008   diag = a->ibdiag;
3009   if (values) *values = a->ibdiag;
3010   /* factor and invert each block */
3011   switch (bs) {
3012   case 1:
3013     for (i=0; i<mbs; i++) {
3014       ierr    = MatGetValues(A,1,&i,1,&i,diag+i);CHKERRQ(ierr);
3015       if (PetscAbsScalar(diag[i] + shift) < PETSC_MACHINE_EPSILON) {
3016         if (allowzeropivot) {
3017           A->factorerrortype             = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3018           A->factorerror_zeropivot_value = PetscAbsScalar(diag[i]);
3019           A->factorerror_zeropivot_row   = i;
3020           ierr = PetscInfo3(A,"Zero pivot, row %D pivot %g tolerance %g\n",i,(double)PetscAbsScalar(diag[i]),(double)PETSC_MACHINE_EPSILON);CHKERRQ(ierr);
3021         } else SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_MAT_LU_ZRPVT,"Zero pivot, row %D pivot %g tolerance %g",i,(double)PetscAbsScalar(diag[i]),(double)PETSC_MACHINE_EPSILON);
3022       }
3023       diag[i] = (PetscScalar)1.0 / (diag[i] + shift);
3024     }
3025     break;
3026   case 2:
3027     for (i=0; i<mbs; i++) {
3028       ij[0] = 2*i; ij[1] = 2*i + 1;
3029       ierr  = MatGetValues(A,2,ij,2,ij,diag);CHKERRQ(ierr);
3030       ierr  = PetscKernel_A_gets_inverse_A_2(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3031       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3032       ierr  = PetscKernel_A_gets_transpose_A_2(diag);CHKERRQ(ierr);
3033       diag += 4;
3034     }
3035     break;
3036   case 3:
3037     for (i=0; i<mbs; i++) {
3038       ij[0] = 3*i; ij[1] = 3*i + 1; ij[2] = 3*i + 2;
3039       ierr  = MatGetValues(A,3,ij,3,ij,diag);CHKERRQ(ierr);
3040       ierr  = PetscKernel_A_gets_inverse_A_3(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3041       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3042       ierr  = PetscKernel_A_gets_transpose_A_3(diag);CHKERRQ(ierr);
3043       diag += 9;
3044     }
3045     break;
3046   case 4:
3047     for (i=0; i<mbs; i++) {
3048       ij[0] = 4*i; ij[1] = 4*i + 1; ij[2] = 4*i + 2; ij[3] = 4*i + 3;
3049       ierr  = MatGetValues(A,4,ij,4,ij,diag);CHKERRQ(ierr);
3050       ierr  = PetscKernel_A_gets_inverse_A_4(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3051       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3052       ierr  = PetscKernel_A_gets_transpose_A_4(diag);CHKERRQ(ierr);
3053       diag += 16;
3054     }
3055     break;
3056   case 5:
3057     for (i=0; i<mbs; i++) {
3058       ij[0] = 5*i; ij[1] = 5*i + 1; ij[2] = 5*i + 2; ij[3] = 5*i + 3; ij[4] = 5*i + 4;
3059       ierr  = MatGetValues(A,5,ij,5,ij,diag);CHKERRQ(ierr);
3060       ierr  = PetscKernel_A_gets_inverse_A_5(diag,ipvt,work,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3061       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3062       ierr  = PetscKernel_A_gets_transpose_A_5(diag);CHKERRQ(ierr);
3063       diag += 25;
3064     }
3065     break;
3066   case 6:
3067     for (i=0; i<mbs; i++) {
3068       ij[0] = 6*i; ij[1] = 6*i + 1; ij[2] = 6*i + 2; ij[3] = 6*i + 3; ij[4] = 6*i + 4; ij[5] = 6*i + 5;
3069       ierr  = MatGetValues(A,6,ij,6,ij,diag);CHKERRQ(ierr);
3070       ierr  = PetscKernel_A_gets_inverse_A_6(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3071       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3072       ierr  = PetscKernel_A_gets_transpose_A_6(diag);CHKERRQ(ierr);
3073       diag += 36;
3074     }
3075     break;
3076   case 7:
3077     for (i=0; i<mbs; i++) {
3078       ij[0] = 7*i; ij[1] = 7*i + 1; ij[2] = 7*i + 2; ij[3] = 7*i + 3; ij[4] = 7*i + 4; ij[5] = 7*i + 5; ij[5] = 7*i + 6;
3079       ierr  = MatGetValues(A,7,ij,7,ij,diag);CHKERRQ(ierr);
3080       ierr  = PetscKernel_A_gets_inverse_A_7(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3081       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3082       ierr  = PetscKernel_A_gets_transpose_A_7(diag);CHKERRQ(ierr);
3083       diag += 49;
3084     }
3085     break;
3086   default:
3087     ierr = PetscMalloc3(bs,&v_work,bs,&v_pivots,bs,&IJ);CHKERRQ(ierr);
3088     for (i=0; i<mbs; i++) {
3089       for (j=0; j<bs; j++) {
3090         IJ[j] = bs*i + j;
3091       }
3092       ierr  = MatGetValues(A,bs,IJ,bs,IJ,diag);CHKERRQ(ierr);
3093       ierr  = PetscKernel_A_gets_inverse_A(bs,diag,v_pivots,v_work,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3094       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3095       ierr  = PetscKernel_A_gets_transpose_A_N(diag,bs);CHKERRQ(ierr);
3096       diag += bs2;
3097     }
3098     ierr = PetscFree3(v_work,v_pivots,IJ);CHKERRQ(ierr);
3099   }
3100   a->ibdiagvalid = PETSC_TRUE;
3101   PetscFunctionReturn(0);
3102 }
3103 
3104 static PetscErrorCode  MatSetRandom_SeqAIJ(Mat x,PetscRandom rctx)
3105 {
3106   PetscErrorCode ierr;
3107   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)x->data;
3108   PetscScalar    a;
3109   PetscInt       m,n,i,j,col;
3110 
3111   PetscFunctionBegin;
3112   if (!x->assembled) {
3113     ierr = MatGetSize(x,&m,&n);CHKERRQ(ierr);
3114     for (i=0; i<m; i++) {
3115       for (j=0; j<aij->imax[i]; j++) {
3116         ierr = PetscRandomGetValue(rctx,&a);CHKERRQ(ierr);
3117         col  = (PetscInt)(n*PetscRealPart(a));
3118         ierr = MatSetValues(x,1,&i,1,&col,&a,ADD_VALUES);CHKERRQ(ierr);
3119       }
3120     }
3121   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not yet coded");
3122   ierr = MatAssemblyBegin(x,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3123   ierr = MatAssemblyEnd(x,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3124   PetscFunctionReturn(0);
3125 }
3126 
3127 PetscErrorCode MatShift_SeqAIJ(Mat Y,PetscScalar a)
3128 {
3129   PetscErrorCode ierr;
3130   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)Y->data;
3131 
3132   PetscFunctionBegin;
3133   if (!Y->preallocated || !aij->nz) {
3134     ierr = MatSeqAIJSetPreallocation(Y,1,NULL);CHKERRQ(ierr);
3135   }
3136   ierr = MatShift_Basic(Y,a);CHKERRQ(ierr);
3137   PetscFunctionReturn(0);
3138 }
3139 
3140 /* -------------------------------------------------------------------*/
3141 static struct _MatOps MatOps_Values = { MatSetValues_SeqAIJ,
3142                                         MatGetRow_SeqAIJ,
3143                                         MatRestoreRow_SeqAIJ,
3144                                         MatMult_SeqAIJ,
3145                                 /*  4*/ MatMultAdd_SeqAIJ,
3146                                         MatMultTranspose_SeqAIJ,
3147                                         MatMultTransposeAdd_SeqAIJ,
3148                                         0,
3149                                         0,
3150                                         0,
3151                                 /* 10*/ 0,
3152                                         MatLUFactor_SeqAIJ,
3153                                         0,
3154                                         MatSOR_SeqAIJ,
3155                                         MatTranspose_SeqAIJ,
3156                                 /*1 5*/ MatGetInfo_SeqAIJ,
3157                                         MatEqual_SeqAIJ,
3158                                         MatGetDiagonal_SeqAIJ,
3159                                         MatDiagonalScale_SeqAIJ,
3160                                         MatNorm_SeqAIJ,
3161                                 /* 20*/ 0,
3162                                         MatAssemblyEnd_SeqAIJ,
3163                                         MatSetOption_SeqAIJ,
3164                                         MatZeroEntries_SeqAIJ,
3165                                 /* 24*/ MatZeroRows_SeqAIJ,
3166                                         0,
3167                                         0,
3168                                         0,
3169                                         0,
3170                                 /* 29*/ MatSetUp_SeqAIJ,
3171                                         0,
3172                                         0,
3173                                         0,
3174                                         0,
3175                                 /* 34*/ MatDuplicate_SeqAIJ,
3176                                         0,
3177                                         0,
3178                                         MatILUFactor_SeqAIJ,
3179                                         0,
3180                                 /* 39*/ MatAXPY_SeqAIJ,
3181                                         MatCreateSubMatrices_SeqAIJ,
3182                                         MatIncreaseOverlap_SeqAIJ,
3183                                         MatGetValues_SeqAIJ,
3184                                         MatCopy_SeqAIJ,
3185                                 /* 44*/ MatGetRowMax_SeqAIJ,
3186                                         MatScale_SeqAIJ,
3187                                         MatShift_SeqAIJ,
3188                                         MatDiagonalSet_SeqAIJ,
3189                                         MatZeroRowsColumns_SeqAIJ,
3190                                 /* 49*/ MatSetRandom_SeqAIJ,
3191                                         MatGetRowIJ_SeqAIJ,
3192                                         MatRestoreRowIJ_SeqAIJ,
3193                                         MatGetColumnIJ_SeqAIJ,
3194                                         MatRestoreColumnIJ_SeqAIJ,
3195                                 /* 54*/ MatFDColoringCreate_SeqXAIJ,
3196                                         0,
3197                                         0,
3198                                         MatPermute_SeqAIJ,
3199                                         0,
3200                                 /* 59*/ 0,
3201                                         MatDestroy_SeqAIJ,
3202                                         MatView_SeqAIJ,
3203                                         0,
3204                                         MatMatMatMult_SeqAIJ_SeqAIJ_SeqAIJ,
3205                                 /* 64*/ MatMatMatMultSymbolic_SeqAIJ_SeqAIJ_SeqAIJ,
3206                                         MatMatMatMultNumeric_SeqAIJ_SeqAIJ_SeqAIJ,
3207                                         0,
3208                                         0,
3209                                         0,
3210                                 /* 69*/ MatGetRowMaxAbs_SeqAIJ,
3211                                         MatGetRowMinAbs_SeqAIJ,
3212                                         0,
3213                                         0,
3214                                         0,
3215                                 /* 74*/ 0,
3216                                         MatFDColoringApply_AIJ,
3217                                         0,
3218                                         0,
3219                                         0,
3220                                 /* 79*/ MatFindZeroDiagonals_SeqAIJ,
3221                                         0,
3222                                         0,
3223                                         0,
3224                                         MatLoad_SeqAIJ,
3225                                 /* 84*/ MatIsSymmetric_SeqAIJ,
3226                                         MatIsHermitian_SeqAIJ,
3227                                         0,
3228                                         0,
3229                                         0,
3230                                 /* 89*/ MatMatMult_SeqAIJ_SeqAIJ,
3231                                         MatMatMultSymbolic_SeqAIJ_SeqAIJ,
3232                                         MatMatMultNumeric_SeqAIJ_SeqAIJ,
3233                                         MatPtAP_SeqAIJ_SeqAIJ,
3234                                         MatPtAPSymbolic_SeqAIJ_SeqAIJ_DenseAxpy,
3235                                 /* 94*/ MatPtAPNumeric_SeqAIJ_SeqAIJ,
3236                                         MatMatTransposeMult_SeqAIJ_SeqAIJ,
3237                                         MatMatTransposeMultSymbolic_SeqAIJ_SeqAIJ,
3238                                         MatMatTransposeMultNumeric_SeqAIJ_SeqAIJ,
3239                                         0,
3240                                 /* 99*/ 0,
3241                                         0,
3242                                         0,
3243                                         MatConjugate_SeqAIJ,
3244                                         0,
3245                                 /*104*/ MatSetValuesRow_SeqAIJ,
3246                                         MatRealPart_SeqAIJ,
3247                                         MatImaginaryPart_SeqAIJ,
3248                                         0,
3249                                         0,
3250                                 /*109*/ MatMatSolve_SeqAIJ,
3251                                         0,
3252                                         MatGetRowMin_SeqAIJ,
3253                                         0,
3254                                         MatMissingDiagonal_SeqAIJ,
3255                                 /*114*/ 0,
3256                                         0,
3257                                         0,
3258                                         0,
3259                                         0,
3260                                 /*119*/ 0,
3261                                         0,
3262                                         0,
3263                                         0,
3264                                         MatGetMultiProcBlock_SeqAIJ,
3265                                 /*124*/ MatFindNonzeroRows_SeqAIJ,
3266                                         MatGetColumnNorms_SeqAIJ,
3267                                         MatInvertBlockDiagonal_SeqAIJ,
3268                                         0,
3269                                         0,
3270                                 /*129*/ 0,
3271                                         MatTransposeMatMult_SeqAIJ_SeqAIJ,
3272                                         MatTransposeMatMultSymbolic_SeqAIJ_SeqAIJ,
3273                                         MatTransposeMatMultNumeric_SeqAIJ_SeqAIJ,
3274                                         MatTransposeColoringCreate_SeqAIJ,
3275                                 /*134*/ MatTransColoringApplySpToDen_SeqAIJ,
3276                                         MatTransColoringApplyDenToSp_SeqAIJ,
3277                                         MatRARt_SeqAIJ_SeqAIJ,
3278                                         MatRARtSymbolic_SeqAIJ_SeqAIJ,
3279                                         MatRARtNumeric_SeqAIJ_SeqAIJ,
3280                                  /*139*/0,
3281                                         0,
3282                                         0,
3283                                         MatFDColoringSetUp_SeqXAIJ,
3284                                         MatFindOffBlockDiagonalEntries_SeqAIJ,
3285                                  /*144*/MatCreateMPIMatConcatenateSeqMat_SeqAIJ,
3286                                         MatDestroySubMatrices_SeqAIJ
3287 };
3288 
3289 PetscErrorCode  MatSeqAIJSetColumnIndices_SeqAIJ(Mat mat,PetscInt *indices)
3290 {
3291   Mat_SeqAIJ *aij = (Mat_SeqAIJ*)mat->data;
3292   PetscInt   i,nz,n;
3293 
3294   PetscFunctionBegin;
3295   nz = aij->maxnz;
3296   n  = mat->rmap->n;
3297   for (i=0; i<nz; i++) {
3298     aij->j[i] = indices[i];
3299   }
3300   aij->nz = nz;
3301   for (i=0; i<n; i++) {
3302     aij->ilen[i] = aij->imax[i];
3303   }
3304   PetscFunctionReturn(0);
3305 }
3306 
3307 /*@
3308     MatSeqAIJSetColumnIndices - Set the column indices for all the rows
3309        in the matrix.
3310 
3311   Input Parameters:
3312 +  mat - the SeqAIJ matrix
3313 -  indices - the column indices
3314 
3315   Level: advanced
3316 
3317   Notes:
3318     This can be called if you have precomputed the nonzero structure of the
3319   matrix and want to provide it to the matrix object to improve the performance
3320   of the MatSetValues() operation.
3321 
3322     You MUST have set the correct numbers of nonzeros per row in the call to
3323   MatCreateSeqAIJ(), and the columns indices MUST be sorted.
3324 
3325     MUST be called before any calls to MatSetValues();
3326 
3327     The indices should start with zero, not one.
3328 
3329 @*/
3330 PetscErrorCode  MatSeqAIJSetColumnIndices(Mat mat,PetscInt *indices)
3331 {
3332   PetscErrorCode ierr;
3333 
3334   PetscFunctionBegin;
3335   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3336   PetscValidPointer(indices,2);
3337   ierr = PetscUseMethod(mat,"MatSeqAIJSetColumnIndices_C",(Mat,PetscInt*),(mat,indices));CHKERRQ(ierr);
3338   PetscFunctionReturn(0);
3339 }
3340 
3341 /* ----------------------------------------------------------------------------------------*/
3342 
3343 PetscErrorCode  MatStoreValues_SeqAIJ(Mat mat)
3344 {
3345   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)mat->data;
3346   PetscErrorCode ierr;
3347   size_t         nz = aij->i[mat->rmap->n];
3348 
3349   PetscFunctionBegin;
3350   if (!aij->nonew) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
3351 
3352   /* allocate space for values if not already there */
3353   if (!aij->saved_values) {
3354     ierr = PetscMalloc1(nz+1,&aij->saved_values);CHKERRQ(ierr);
3355     ierr = PetscLogObjectMemory((PetscObject)mat,(nz+1)*sizeof(PetscScalar));CHKERRQ(ierr);
3356   }
3357 
3358   /* copy values over */
3359   ierr = PetscMemcpy(aij->saved_values,aij->a,nz*sizeof(PetscScalar));CHKERRQ(ierr);
3360   PetscFunctionReturn(0);
3361 }
3362 
3363 /*@
3364     MatStoreValues - Stashes a copy of the matrix values; this allows, for
3365        example, reuse of the linear part of a Jacobian, while recomputing the
3366        nonlinear portion.
3367 
3368    Collect on Mat
3369 
3370   Input Parameters:
3371 .  mat - the matrix (currently only AIJ matrices support this option)
3372 
3373   Level: advanced
3374 
3375   Common Usage, with SNESSolve():
3376 $    Create Jacobian matrix
3377 $    Set linear terms into matrix
3378 $    Apply boundary conditions to matrix, at this time matrix must have
3379 $      final nonzero structure (i.e. setting the nonlinear terms and applying
3380 $      boundary conditions again will not change the nonzero structure
3381 $    ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);
3382 $    ierr = MatStoreValues(mat);
3383 $    Call SNESSetJacobian() with matrix
3384 $    In your Jacobian routine
3385 $      ierr = MatRetrieveValues(mat);
3386 $      Set nonlinear terms in matrix
3387 
3388   Common Usage without SNESSolve(), i.e. when you handle nonlinear solve yourself:
3389 $    // build linear portion of Jacobian
3390 $    ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);
3391 $    ierr = MatStoreValues(mat);
3392 $    loop over nonlinear iterations
3393 $       ierr = MatRetrieveValues(mat);
3394 $       // call MatSetValues(mat,...) to set nonliner portion of Jacobian
3395 $       // call MatAssemblyBegin/End() on matrix
3396 $       Solve linear system with Jacobian
3397 $    endloop
3398 
3399   Notes:
3400     Matrix must already be assemblied before calling this routine
3401     Must set the matrix option MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE); before
3402     calling this routine.
3403 
3404     When this is called multiple times it overwrites the previous set of stored values
3405     and does not allocated additional space.
3406 
3407 .seealso: MatRetrieveValues()
3408 
3409 @*/
3410 PetscErrorCode  MatStoreValues(Mat mat)
3411 {
3412   PetscErrorCode ierr;
3413 
3414   PetscFunctionBegin;
3415   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3416   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3417   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3418   ierr = PetscUseMethod(mat,"MatStoreValues_C",(Mat),(mat));CHKERRQ(ierr);
3419   PetscFunctionReturn(0);
3420 }
3421 
3422 PetscErrorCode  MatRetrieveValues_SeqAIJ(Mat mat)
3423 {
3424   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)mat->data;
3425   PetscErrorCode ierr;
3426   PetscInt       nz = aij->i[mat->rmap->n];
3427 
3428   PetscFunctionBegin;
3429   if (!aij->nonew) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
3430   if (!aij->saved_values) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatStoreValues(A);first");
3431   /* copy values over */
3432   ierr = PetscMemcpy(aij->a,aij->saved_values,nz*sizeof(PetscScalar));CHKERRQ(ierr);
3433   PetscFunctionReturn(0);
3434 }
3435 
3436 /*@
3437     MatRetrieveValues - Retrieves the copy of the matrix values; this allows, for
3438        example, reuse of the linear part of a Jacobian, while recomputing the
3439        nonlinear portion.
3440 
3441    Collect on Mat
3442 
3443   Input Parameters:
3444 .  mat - the matrix (currently only AIJ matrices support this option)
3445 
3446   Level: advanced
3447 
3448 .seealso: MatStoreValues()
3449 
3450 @*/
3451 PetscErrorCode  MatRetrieveValues(Mat mat)
3452 {
3453   PetscErrorCode ierr;
3454 
3455   PetscFunctionBegin;
3456   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3457   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3458   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3459   ierr = PetscUseMethod(mat,"MatRetrieveValues_C",(Mat),(mat));CHKERRQ(ierr);
3460   PetscFunctionReturn(0);
3461 }
3462 
3463 
3464 /* --------------------------------------------------------------------------------*/
3465 /*@C
3466    MatCreateSeqAIJ - Creates a sparse matrix in AIJ (compressed row) format
3467    (the default parallel PETSc format).  For good matrix assembly performance
3468    the user should preallocate the matrix storage by setting the parameter nz
3469    (or the array nnz).  By setting these parameters accurately, performance
3470    during matrix assembly can be increased by more than a factor of 50.
3471 
3472    Collective on MPI_Comm
3473 
3474    Input Parameters:
3475 +  comm - MPI communicator, set to PETSC_COMM_SELF
3476 .  m - number of rows
3477 .  n - number of columns
3478 .  nz - number of nonzeros per row (same for all rows)
3479 -  nnz - array containing the number of nonzeros in the various rows
3480          (possibly different for each row) or NULL
3481 
3482    Output Parameter:
3483 .  A - the matrix
3484 
3485    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
3486    MatXXXXSetPreallocation() paradgm instead of this routine directly.
3487    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
3488 
3489    Notes:
3490    If nnz is given then nz is ignored
3491 
3492    The AIJ format (also called the Yale sparse matrix format or
3493    compressed row storage), is fully compatible with standard Fortran 77
3494    storage.  That is, the stored row and column indices can begin at
3495    either one (as in Fortran) or zero.  See the users' manual for details.
3496 
3497    Specify the preallocated storage with either nz or nnz (not both).
3498    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3499    allocation.  For large problems you MUST preallocate memory or you
3500    will get TERRIBLE performance, see the users' manual chapter on matrices.
3501 
3502    By default, this format uses inodes (identical nodes) when possible, to
3503    improve numerical efficiency of matrix-vector products and solves. We
3504    search for consecutive rows with the same nonzero structure, thereby
3505    reusing matrix information to achieve increased efficiency.
3506 
3507    Options Database Keys:
3508 +  -mat_no_inode  - Do not use inodes
3509 -  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
3510 
3511    Level: intermediate
3512 
3513 .seealso: MatCreate(), MatCreateAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays()
3514 
3515 @*/
3516 PetscErrorCode  MatCreateSeqAIJ(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A)
3517 {
3518   PetscErrorCode ierr;
3519 
3520   PetscFunctionBegin;
3521   ierr = MatCreate(comm,A);CHKERRQ(ierr);
3522   ierr = MatSetSizes(*A,m,n,m,n);CHKERRQ(ierr);
3523   ierr = MatSetType(*A,MATSEQAIJ);CHKERRQ(ierr);
3524   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*A,nz,nnz);CHKERRQ(ierr);
3525   PetscFunctionReturn(0);
3526 }
3527 
3528 /*@C
3529    MatSeqAIJSetPreallocation - For good matrix assembly performance
3530    the user should preallocate the matrix storage by setting the parameter nz
3531    (or the array nnz).  By setting these parameters accurately, performance
3532    during matrix assembly can be increased by more than a factor of 50.
3533 
3534    Collective on MPI_Comm
3535 
3536    Input Parameters:
3537 +  B - The matrix
3538 .  nz - number of nonzeros per row (same for all rows)
3539 -  nnz - array containing the number of nonzeros in the various rows
3540          (possibly different for each row) or NULL
3541 
3542    Notes:
3543      If nnz is given then nz is ignored
3544 
3545     The AIJ format (also called the Yale sparse matrix format or
3546    compressed row storage), is fully compatible with standard Fortran 77
3547    storage.  That is, the stored row and column indices can begin at
3548    either one (as in Fortran) or zero.  See the users' manual for details.
3549 
3550    Specify the preallocated storage with either nz or nnz (not both).
3551    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3552    allocation.  For large problems you MUST preallocate memory or you
3553    will get TERRIBLE performance, see the users' manual chapter on matrices.
3554 
3555    You can call MatGetInfo() to get information on how effective the preallocation was;
3556    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
3557    You can also run with the option -info and look for messages with the string
3558    malloc in them to see if additional memory allocation was needed.
3559 
3560    Developers: Use nz of MAT_SKIP_ALLOCATION to not allocate any space for the matrix
3561    entries or columns indices
3562 
3563    By default, this format uses inodes (identical nodes) when possible, to
3564    improve numerical efficiency of matrix-vector products and solves. We
3565    search for consecutive rows with the same nonzero structure, thereby
3566    reusing matrix information to achieve increased efficiency.
3567 
3568    Options Database Keys:
3569 +  -mat_no_inode  - Do not use inodes
3570 .  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
3571 -  -mat_aij_oneindex - Internally use indexing starting at 1
3572         rather than 0.  Note that when calling MatSetValues(),
3573         the user still MUST index entries starting at 0!
3574 
3575    Level: intermediate
3576 
3577 .seealso: MatCreate(), MatCreateAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays(), MatGetInfo()
3578 
3579 @*/
3580 PetscErrorCode  MatSeqAIJSetPreallocation(Mat B,PetscInt nz,const PetscInt nnz[])
3581 {
3582   PetscErrorCode ierr;
3583 
3584   PetscFunctionBegin;
3585   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3586   PetscValidType(B,1);
3587   ierr = PetscTryMethod(B,"MatSeqAIJSetPreallocation_C",(Mat,PetscInt,const PetscInt[]),(B,nz,nnz));CHKERRQ(ierr);
3588   PetscFunctionReturn(0);
3589 }
3590 
3591 PetscErrorCode  MatSeqAIJSetPreallocation_SeqAIJ(Mat B,PetscInt nz,const PetscInt *nnz)
3592 {
3593   Mat_SeqAIJ     *b;
3594   PetscBool      skipallocation = PETSC_FALSE,realalloc = PETSC_FALSE;
3595   PetscErrorCode ierr;
3596   PetscInt       i;
3597 
3598   PetscFunctionBegin;
3599   if (nz >= 0 || nnz) realalloc = PETSC_TRUE;
3600   if (nz == MAT_SKIP_ALLOCATION) {
3601     skipallocation = PETSC_TRUE;
3602     nz             = 0;
3603   }
3604   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3605   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3606 
3607   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
3608   if (nz < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %D",nz);
3609   if (nnz) {
3610     for (i=0; i<B->rmap->n; i++) {
3611       if (nnz[i] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nnz cannot be less than 0: local row %D value %D",i,nnz[i]);
3612       if (nnz[i] > B->cmap->n) SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nnz cannot be greater than row length: local row %D value %d rowlength %D",i,nnz[i],B->cmap->n);
3613     }
3614   }
3615 
3616   B->preallocated = PETSC_TRUE;
3617 
3618   b = (Mat_SeqAIJ*)B->data;
3619 
3620   if (!skipallocation) {
3621     if (!b->imax) {
3622       ierr = PetscMalloc2(B->rmap->n,&b->imax,B->rmap->n,&b->ilen);CHKERRQ(ierr);
3623       ierr = PetscLogObjectMemory((PetscObject)B,2*B->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);
3624     }
3625     if (!nnz) {
3626       if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 10;
3627       else if (nz < 0) nz = 1;
3628       for (i=0; i<B->rmap->n; i++) b->imax[i] = nz;
3629       nz = nz*B->rmap->n;
3630     } else {
3631       nz = 0;
3632       for (i=0; i<B->rmap->n; i++) {b->imax[i] = nnz[i]; nz += nnz[i];}
3633     }
3634     /* b->ilen will count nonzeros in each row so far. */
3635     for (i=0; i<B->rmap->n; i++) b->ilen[i] = 0;
3636 
3637     /* allocate the matrix space */
3638     /* FIXME: should B's old memory be unlogged? */
3639     ierr    = MatSeqXAIJFreeAIJ(B,&b->a,&b->j,&b->i);CHKERRQ(ierr);
3640     if (B->structure_only) {
3641       ierr    = PetscMalloc1(nz,&b->j);CHKERRQ(ierr);
3642       ierr    = PetscMalloc1(B->rmap->n+1,&b->i);CHKERRQ(ierr);
3643       ierr    = PetscLogObjectMemory((PetscObject)B,(B->rmap->n+1)*sizeof(PetscInt)+nz*sizeof(PetscInt));CHKERRQ(ierr);
3644     } else {
3645       ierr    = PetscMalloc3(nz,&b->a,nz,&b->j,B->rmap->n+1,&b->i);CHKERRQ(ierr);
3646       ierr    = PetscLogObjectMemory((PetscObject)B,(B->rmap->n+1)*sizeof(PetscInt)+nz*(sizeof(PetscScalar)+sizeof(PetscInt)));CHKERRQ(ierr);
3647     }
3648     b->i[0] = 0;
3649     for (i=1; i<B->rmap->n+1; i++) {
3650       b->i[i] = b->i[i-1] + b->imax[i-1];
3651     }
3652     if (B->structure_only) {
3653       b->singlemalloc = PETSC_FALSE;
3654       b->free_a       = PETSC_FALSE;
3655     } else {
3656       b->singlemalloc = PETSC_TRUE;
3657       b->free_a       = PETSC_TRUE;
3658     }
3659     b->free_ij      = PETSC_TRUE;
3660   } else {
3661     b->free_a  = PETSC_FALSE;
3662     b->free_ij = PETSC_FALSE;
3663   }
3664 
3665   b->nz               = 0;
3666   b->maxnz            = nz;
3667   B->info.nz_unneeded = (double)b->maxnz;
3668   if (realalloc) {
3669     ierr = MatSetOption(B,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3670   }
3671   B->was_assembled = PETSC_FALSE;
3672   B->assembled     = PETSC_FALSE;
3673   PetscFunctionReturn(0);
3674 }
3675 
3676 /*@
3677    MatSeqAIJSetPreallocationCSR - Allocates memory for a sparse sequential matrix in AIJ format.
3678 
3679    Input Parameters:
3680 +  B - the matrix
3681 .  i - the indices into j for the start of each row (starts with zero)
3682 .  j - the column indices for each row (starts with zero) these must be sorted for each row
3683 -  v - optional values in the matrix
3684 
3685    Level: developer
3686 
3687    The i,j,v values are COPIED with this routine; to avoid the copy use MatCreateSeqAIJWithArrays()
3688 
3689 .keywords: matrix, aij, compressed row, sparse, sequential
3690 
3691 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatSeqAIJSetPreallocation(), MatCreateSeqAIJ(), SeqAIJ
3692 @*/
3693 PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat B,const PetscInt i[],const PetscInt j[],const PetscScalar v[])
3694 {
3695   PetscErrorCode ierr;
3696 
3697   PetscFunctionBegin;
3698   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3699   PetscValidType(B,1);
3700   ierr = PetscTryMethod(B,"MatSeqAIJSetPreallocationCSR_C",(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,i,j,v));CHKERRQ(ierr);
3701   PetscFunctionReturn(0);
3702 }
3703 
3704 PetscErrorCode  MatSeqAIJSetPreallocationCSR_SeqAIJ(Mat B,const PetscInt Ii[],const PetscInt J[],const PetscScalar v[])
3705 {
3706   PetscInt       i;
3707   PetscInt       m,n;
3708   PetscInt       nz;
3709   PetscInt       *nnz, nz_max = 0;
3710   PetscScalar    *values;
3711   PetscErrorCode ierr;
3712 
3713   PetscFunctionBegin;
3714   if (Ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Ii[0] must be 0 it is %D", Ii[0]);
3715 
3716   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3717   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3718 
3719   ierr = MatGetSize(B, &m, &n);CHKERRQ(ierr);
3720   ierr = PetscMalloc1(m+1, &nnz);CHKERRQ(ierr);
3721   for (i = 0; i < m; i++) {
3722     nz     = Ii[i+1]- Ii[i];
3723     nz_max = PetscMax(nz_max, nz);
3724     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Local row %D has a negative number of columns %D", i, nnz);
3725     nnz[i] = nz;
3726   }
3727   ierr = MatSeqAIJSetPreallocation(B, 0, nnz);CHKERRQ(ierr);
3728   ierr = PetscFree(nnz);CHKERRQ(ierr);
3729 
3730   if (v) {
3731     values = (PetscScalar*) v;
3732   } else {
3733     ierr = PetscCalloc1(nz_max, &values);CHKERRQ(ierr);
3734   }
3735 
3736   for (i = 0; i < m; i++) {
3737     nz   = Ii[i+1] - Ii[i];
3738     ierr = MatSetValues_SeqAIJ(B, 1, &i, nz, J+Ii[i], values + (v ? Ii[i] : 0), INSERT_VALUES);CHKERRQ(ierr);
3739   }
3740 
3741   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3742   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3743 
3744   if (!v) {
3745     ierr = PetscFree(values);CHKERRQ(ierr);
3746   }
3747   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3748   PetscFunctionReturn(0);
3749 }
3750 
3751 #include <../src/mat/impls/dense/seq/dense.h>
3752 #include <petsc/private/kernels/petscaxpy.h>
3753 
3754 /*
3755     Computes (B'*A')' since computing B*A directly is untenable
3756 
3757                n                       p                          p
3758         (              )       (              )         (                  )
3759       m (      A       )  *  n (       B      )   =   m (         C        )
3760         (              )       (              )         (                  )
3761 
3762 */
3763 PetscErrorCode MatMatMultNumeric_SeqDense_SeqAIJ(Mat A,Mat B,Mat C)
3764 {
3765   PetscErrorCode    ierr;
3766   Mat_SeqDense      *sub_a = (Mat_SeqDense*)A->data;
3767   Mat_SeqAIJ        *sub_b = (Mat_SeqAIJ*)B->data;
3768   Mat_SeqDense      *sub_c = (Mat_SeqDense*)C->data;
3769   PetscInt          i,n,m,q,p;
3770   const PetscInt    *ii,*idx;
3771   const PetscScalar *b,*a,*a_q;
3772   PetscScalar       *c,*c_q;
3773 
3774   PetscFunctionBegin;
3775   m    = A->rmap->n;
3776   n    = A->cmap->n;
3777   p    = B->cmap->n;
3778   a    = sub_a->v;
3779   b    = sub_b->a;
3780   c    = sub_c->v;
3781   ierr = PetscMemzero(c,m*p*sizeof(PetscScalar));CHKERRQ(ierr);
3782 
3783   ii  = sub_b->i;
3784   idx = sub_b->j;
3785   for (i=0; i<n; i++) {
3786     q = ii[i+1] - ii[i];
3787     while (q-->0) {
3788       c_q = c + m*(*idx);
3789       a_q = a + m*i;
3790       PetscKernelAXPY(c_q,*b,a_q,m);
3791       idx++;
3792       b++;
3793     }
3794   }
3795   PetscFunctionReturn(0);
3796 }
3797 
3798 PetscErrorCode MatMatMultSymbolic_SeqDense_SeqAIJ(Mat A,Mat B,PetscReal fill,Mat *C)
3799 {
3800   PetscErrorCode ierr;
3801   PetscInt       m=A->rmap->n,n=B->cmap->n;
3802   Mat            Cmat;
3803 
3804   PetscFunctionBegin;
3805   if (A->cmap->n != B->rmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"A->cmap->n %D != B->rmap->n %D\n",A->cmap->n,B->rmap->n);
3806   ierr = MatCreate(PetscObjectComm((PetscObject)A),&Cmat);CHKERRQ(ierr);
3807   ierr = MatSetSizes(Cmat,m,n,m,n);CHKERRQ(ierr);
3808   ierr = MatSetBlockSizesFromMats(Cmat,A,B);CHKERRQ(ierr);
3809   ierr = MatSetType(Cmat,MATSEQDENSE);CHKERRQ(ierr);
3810   ierr = MatSeqDenseSetPreallocation(Cmat,NULL);CHKERRQ(ierr);
3811 
3812   Cmat->ops->matmultnumeric = MatMatMultNumeric_SeqDense_SeqAIJ;
3813 
3814   *C = Cmat;
3815   PetscFunctionReturn(0);
3816 }
3817 
3818 /* ----------------------------------------------------------------*/
3819 PETSC_INTERN PetscErrorCode MatMatMult_SeqDense_SeqAIJ(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
3820 {
3821   PetscErrorCode ierr;
3822 
3823   PetscFunctionBegin;
3824   if (scall == MAT_INITIAL_MATRIX) {
3825     ierr = PetscLogEventBegin(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
3826     ierr = MatMatMultSymbolic_SeqDense_SeqAIJ(A,B,fill,C);CHKERRQ(ierr);
3827     ierr = PetscLogEventEnd(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
3828   }
3829   ierr = PetscLogEventBegin(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
3830   ierr = MatMatMultNumeric_SeqDense_SeqAIJ(A,B,*C);CHKERRQ(ierr);
3831   ierr = PetscLogEventEnd(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
3832   PetscFunctionReturn(0);
3833 }
3834 
3835 
3836 /*MC
3837    MATSEQAIJ - MATSEQAIJ = "seqaij" - A matrix type to be used for sequential sparse matrices,
3838    based on compressed sparse row format.
3839 
3840    Options Database Keys:
3841 . -mat_type seqaij - sets the matrix type to "seqaij" during a call to MatSetFromOptions()
3842 
3843   Level: beginner
3844 
3845 .seealso: MatCreateSeqAIJ(), MatSetFromOptions(), MatSetType(), MatCreate(), MatType
3846 M*/
3847 
3848 /*MC
3849    MATAIJ - MATAIJ = "aij" - A matrix type to be used for sparse matrices.
3850 
3851    This matrix type is identical to MATSEQAIJ when constructed with a single process communicator,
3852    and MATMPIAIJ otherwise.  As a result, for single process communicators,
3853   MatSeqAIJSetPreallocation is supported, and similarly MatMPIAIJSetPreallocation is supported
3854   for communicators controlling multiple processes.  It is recommended that you call both of
3855   the above preallocation routines for simplicity.
3856 
3857    Options Database Keys:
3858 . -mat_type aij - sets the matrix type to "aij" during a call to MatSetFromOptions()
3859 
3860   Developer Notes: Subclasses include MATAIJCUSP, MATAIJPERM, MATAIJCRL, and also automatically switches over to use inodes when
3861    enough exist.
3862 
3863   Level: beginner
3864 
3865 .seealso: MatCreateAIJ(), MatCreateSeqAIJ(), MATSEQAIJ,MATMPIAIJ
3866 M*/
3867 
3868 /*MC
3869    MATAIJCRL - MATAIJCRL = "aijcrl" - A matrix type to be used for sparse matrices.
3870 
3871    This matrix type is identical to MATSEQAIJCRL when constructed with a single process communicator,
3872    and MATMPIAIJCRL otherwise.  As a result, for single process communicators,
3873    MatSeqAIJSetPreallocation() is supported, and similarly MatMPIAIJSetPreallocation() is supported
3874   for communicators controlling multiple processes.  It is recommended that you call both of
3875   the above preallocation routines for simplicity.
3876 
3877    Options Database Keys:
3878 . -mat_type aijcrl - sets the matrix type to "aijcrl" during a call to MatSetFromOptions()
3879 
3880   Level: beginner
3881 
3882 .seealso: MatCreateMPIAIJCRL,MATSEQAIJCRL,MATMPIAIJCRL, MATSEQAIJCRL, MATMPIAIJCRL
3883 M*/
3884 
3885 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqAIJCRL(Mat,MatType,MatReuse,Mat*);
3886 #if defined(PETSC_HAVE_ELEMENTAL)
3887 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_Elemental(Mat,MatType,MatReuse,Mat*);
3888 #endif
3889 #if defined(PETSC_HAVE_HYPRE)
3890 PETSC_INTERN PetscErrorCode MatConvert_AIJ_HYPRE(Mat A,MatType,MatReuse,Mat*);
3891 PETSC_INTERN PetscErrorCode MatMatMatMult_Transpose_AIJ_AIJ(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
3892 #endif
3893 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqDense(Mat,MatType,MatReuse,Mat*);
3894 
3895 #if defined(PETSC_HAVE_MATLAB_ENGINE)
3896 PETSC_EXTERN PetscErrorCode  MatlabEnginePut_SeqAIJ(PetscObject,void*);
3897 PETSC_EXTERN PetscErrorCode  MatlabEngineGet_SeqAIJ(PetscObject,void*);
3898 #endif
3899 
3900 
3901 /*@C
3902    MatSeqAIJGetArray - gives access to the array where the data for a MATSEQAIJ matrix is stored
3903 
3904    Not Collective
3905 
3906    Input Parameter:
3907 .  mat - a MATSEQAIJ matrix
3908 
3909    Output Parameter:
3910 .   array - pointer to the data
3911 
3912    Level: intermediate
3913 
3914 .seealso: MatSeqAIJRestoreArray(), MatSeqAIJGetArrayF90()
3915 @*/
3916 PetscErrorCode  MatSeqAIJGetArray(Mat A,PetscScalar **array)
3917 {
3918   PetscErrorCode ierr;
3919 
3920   PetscFunctionBegin;
3921   ierr = PetscUseMethod(A,"MatSeqAIJGetArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
3922   PetscFunctionReturn(0);
3923 }
3924 
3925 /*@C
3926    MatSeqAIJGetMaxRowNonzeros - returns the maximum number of nonzeros in any row
3927 
3928    Not Collective
3929 
3930    Input Parameter:
3931 .  mat - a MATSEQAIJ matrix
3932 
3933    Output Parameter:
3934 .   nz - the maximum number of nonzeros in any row
3935 
3936    Level: intermediate
3937 
3938 .seealso: MatSeqAIJRestoreArray(), MatSeqAIJGetArrayF90()
3939 @*/
3940 PetscErrorCode  MatSeqAIJGetMaxRowNonzeros(Mat A,PetscInt *nz)
3941 {
3942   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)A->data;
3943 
3944   PetscFunctionBegin;
3945   *nz = aij->rmax;
3946   PetscFunctionReturn(0);
3947 }
3948 
3949 /*@C
3950    MatSeqAIJRestoreArray - returns access to the array where the data for a MATSEQAIJ matrix is stored obtained by MatSeqAIJGetArray()
3951 
3952    Not Collective
3953 
3954    Input Parameters:
3955 .  mat - a MATSEQAIJ matrix
3956 .  array - pointer to the data
3957 
3958    Level: intermediate
3959 
3960 .seealso: MatSeqAIJGetArray(), MatSeqAIJRestoreArrayF90()
3961 @*/
3962 PetscErrorCode  MatSeqAIJRestoreArray(Mat A,PetscScalar **array)
3963 {
3964   PetscErrorCode ierr;
3965 
3966   PetscFunctionBegin;
3967   ierr = PetscUseMethod(A,"MatSeqAIJRestoreArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
3968   PetscFunctionReturn(0);
3969 }
3970 
3971 PETSC_EXTERN PetscErrorCode MatCreate_SeqAIJ(Mat B)
3972 {
3973   Mat_SeqAIJ     *b;
3974   PetscErrorCode ierr;
3975   PetscMPIInt    size;
3976 
3977   PetscFunctionBegin;
3978   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)B),&size);CHKERRQ(ierr);
3979   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Comm must be of size 1");
3980 
3981   ierr = PetscNewLog(B,&b);CHKERRQ(ierr);
3982 
3983   B->data = (void*)b;
3984 
3985   ierr = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
3986 
3987   b->row                = 0;
3988   b->col                = 0;
3989   b->icol               = 0;
3990   b->reallocs           = 0;
3991   b->ignorezeroentries  = PETSC_FALSE;
3992   b->roworiented        = PETSC_TRUE;
3993   b->nonew              = 0;
3994   b->diag               = 0;
3995   b->solve_work         = 0;
3996   B->spptr              = 0;
3997   b->saved_values       = 0;
3998   b->idiag              = 0;
3999   b->mdiag              = 0;
4000   b->ssor_work          = 0;
4001   b->omega              = 1.0;
4002   b->fshift             = 0.0;
4003   b->idiagvalid         = PETSC_FALSE;
4004   b->ibdiagvalid        = PETSC_FALSE;
4005   b->keepnonzeropattern = PETSC_FALSE;
4006 
4007   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
4008   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJGetArray_C",MatSeqAIJGetArray_SeqAIJ);CHKERRQ(ierr);
4009   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJRestoreArray_C",MatSeqAIJRestoreArray_SeqAIJ);CHKERRQ(ierr);
4010 
4011 #if defined(PETSC_HAVE_MATLAB_ENGINE)
4012   ierr = PetscObjectComposeFunction((PetscObject)B,"PetscMatlabEnginePut_C",MatlabEnginePut_SeqAIJ);CHKERRQ(ierr);
4013   ierr = PetscObjectComposeFunction((PetscObject)B,"PetscMatlabEngineGet_C",MatlabEngineGet_SeqAIJ);CHKERRQ(ierr);
4014 #endif
4015 
4016   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetColumnIndices_C",MatSeqAIJSetColumnIndices_SeqAIJ);CHKERRQ(ierr);
4017   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_SeqAIJ);CHKERRQ(ierr);
4018   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_SeqAIJ);CHKERRQ(ierr);
4019   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqsbaij_C",MatConvert_SeqAIJ_SeqSBAIJ);CHKERRQ(ierr);
4020   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqbaij_C",MatConvert_SeqAIJ_SeqBAIJ);CHKERRQ(ierr);
4021   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijperm_C",MatConvert_SeqAIJ_SeqAIJPERM);CHKERRQ(ierr);
4022   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijcrl_C",MatConvert_SeqAIJ_SeqAIJCRL);CHKERRQ(ierr);
4023 #if defined(PETSC_HAVE_ELEMENTAL)
4024   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_elemental_C",MatConvert_SeqAIJ_Elemental);CHKERRQ(ierr);
4025 #endif
4026 #if defined(PETSC_HAVE_HYPRE)
4027   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_hypre_C",MatConvert_AIJ_HYPRE);CHKERRQ(ierr);
4028   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMatMult_transpose_seqaij_seqaij_C",MatMatMatMult_Transpose_AIJ_AIJ);CHKERRQ(ierr);
4029 #endif
4030   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqdense_C",MatConvert_SeqAIJ_SeqDense);CHKERRQ(ierr);
4031   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsTranspose_C",MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
4032   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsHermitianTranspose_C",MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
4033   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetPreallocation_C",MatSeqAIJSetPreallocation_SeqAIJ);CHKERRQ(ierr);
4034   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetPreallocationCSR_C",MatSeqAIJSetPreallocationCSR_SeqAIJ);CHKERRQ(ierr);
4035   ierr = PetscObjectComposeFunction((PetscObject)B,"MatReorderForNonzeroDiagonal_C",MatReorderForNonzeroDiagonal_SeqAIJ);CHKERRQ(ierr);
4036   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMult_seqdense_seqaij_C",MatMatMult_SeqDense_SeqAIJ);CHKERRQ(ierr);
4037   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMultSymbolic_seqdense_seqaij_C",MatMatMultSymbolic_SeqDense_SeqAIJ);CHKERRQ(ierr);
4038   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMultNumeric_seqdense_seqaij_C",MatMatMultNumeric_SeqDense_SeqAIJ);CHKERRQ(ierr);
4039   ierr = MatCreate_SeqAIJ_Inode(B);CHKERRQ(ierr);
4040   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
4041   ierr = MatSeqAIJSetTypeFromOptions(B);CHKERRQ(ierr);  /* this allows changing the matrix subtype to say MATSEQAIJPERM */
4042   PetscFunctionReturn(0);
4043 }
4044 
4045 /*
4046     Given a matrix generated with MatGetFactor() duplicates all the information in A into B
4047 */
4048 PetscErrorCode MatDuplicateNoCreate_SeqAIJ(Mat C,Mat A,MatDuplicateOption cpvalues,PetscBool mallocmatspace)
4049 {
4050   Mat_SeqAIJ     *c,*a = (Mat_SeqAIJ*)A->data;
4051   PetscErrorCode ierr;
4052   PetscInt       i,m = A->rmap->n;
4053 
4054   PetscFunctionBegin;
4055   c = (Mat_SeqAIJ*)C->data;
4056 
4057   C->factortype = A->factortype;
4058   c->row        = 0;
4059   c->col        = 0;
4060   c->icol       = 0;
4061   c->reallocs   = 0;
4062 
4063   C->assembled = PETSC_TRUE;
4064 
4065   ierr = PetscLayoutReference(A->rmap,&C->rmap);CHKERRQ(ierr);
4066   ierr = PetscLayoutReference(A->cmap,&C->cmap);CHKERRQ(ierr);
4067 
4068   ierr = PetscMalloc2(m,&c->imax,m,&c->ilen);CHKERRQ(ierr);
4069   ierr = PetscLogObjectMemory((PetscObject)C, 2*m*sizeof(PetscInt));CHKERRQ(ierr);
4070   for (i=0; i<m; i++) {
4071     c->imax[i] = a->imax[i];
4072     c->ilen[i] = a->ilen[i];
4073   }
4074 
4075   /* allocate the matrix space */
4076   if (mallocmatspace) {
4077     ierr = PetscMalloc3(a->i[m],&c->a,a->i[m],&c->j,m+1,&c->i);CHKERRQ(ierr);
4078     ierr = PetscLogObjectMemory((PetscObject)C, a->i[m]*(sizeof(PetscScalar)+sizeof(PetscInt))+(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4079 
4080     c->singlemalloc = PETSC_TRUE;
4081 
4082     ierr = PetscMemcpy(c->i,a->i,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4083     if (m > 0) {
4084       ierr = PetscMemcpy(c->j,a->j,(a->i[m])*sizeof(PetscInt));CHKERRQ(ierr);
4085       if (cpvalues == MAT_COPY_VALUES) {
4086         ierr = PetscMemcpy(c->a,a->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
4087       } else {
4088         ierr = PetscMemzero(c->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
4089       }
4090     }
4091   }
4092 
4093   c->ignorezeroentries = a->ignorezeroentries;
4094   c->roworiented       = a->roworiented;
4095   c->nonew             = a->nonew;
4096   if (a->diag) {
4097     ierr = PetscMalloc1(m+1,&c->diag);CHKERRQ(ierr);
4098     ierr = PetscLogObjectMemory((PetscObject)C,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4099     for (i=0; i<m; i++) {
4100       c->diag[i] = a->diag[i];
4101     }
4102   } else c->diag = 0;
4103 
4104   c->solve_work         = 0;
4105   c->saved_values       = 0;
4106   c->idiag              = 0;
4107   c->ssor_work          = 0;
4108   c->keepnonzeropattern = a->keepnonzeropattern;
4109   c->free_a             = PETSC_TRUE;
4110   c->free_ij            = PETSC_TRUE;
4111 
4112   c->rmax         = a->rmax;
4113   c->nz           = a->nz;
4114   c->maxnz        = a->nz;       /* Since we allocate exactly the right amount */
4115   C->preallocated = PETSC_TRUE;
4116 
4117   c->compressedrow.use   = a->compressedrow.use;
4118   c->compressedrow.nrows = a->compressedrow.nrows;
4119   if (a->compressedrow.use) {
4120     i    = a->compressedrow.nrows;
4121     ierr = PetscMalloc2(i+1,&c->compressedrow.i,i,&c->compressedrow.rindex);CHKERRQ(ierr);
4122     ierr = PetscMemcpy(c->compressedrow.i,a->compressedrow.i,(i+1)*sizeof(PetscInt));CHKERRQ(ierr);
4123     ierr = PetscMemcpy(c->compressedrow.rindex,a->compressedrow.rindex,i*sizeof(PetscInt));CHKERRQ(ierr);
4124   } else {
4125     c->compressedrow.use    = PETSC_FALSE;
4126     c->compressedrow.i      = NULL;
4127     c->compressedrow.rindex = NULL;
4128   }
4129   c->nonzerorowcnt = a->nonzerorowcnt;
4130   C->nonzerostate  = A->nonzerostate;
4131 
4132   ierr = MatDuplicate_SeqAIJ_Inode(A,cpvalues,&C);CHKERRQ(ierr);
4133   ierr = PetscFunctionListDuplicate(((PetscObject)A)->qlist,&((PetscObject)C)->qlist);CHKERRQ(ierr);
4134   PetscFunctionReturn(0);
4135 }
4136 
4137 PetscErrorCode MatDuplicate_SeqAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
4138 {
4139   PetscErrorCode ierr;
4140 
4141   PetscFunctionBegin;
4142   ierr = MatCreate(PetscObjectComm((PetscObject)A),B);CHKERRQ(ierr);
4143   ierr = MatSetSizes(*B,A->rmap->n,A->cmap->n,A->rmap->n,A->cmap->n);CHKERRQ(ierr);
4144   if (!(A->rmap->n % A->rmap->bs) && !(A->cmap->n % A->cmap->bs)) {
4145     ierr = MatSetBlockSizesFromMats(*B,A,A);CHKERRQ(ierr);
4146   }
4147   ierr = MatSetType(*B,((PetscObject)A)->type_name);CHKERRQ(ierr);
4148   ierr = MatDuplicateNoCreate_SeqAIJ(*B,A,cpvalues,PETSC_TRUE);CHKERRQ(ierr);
4149   PetscFunctionReturn(0);
4150 }
4151 
4152 PetscErrorCode MatLoad_SeqAIJ(Mat newMat, PetscViewer viewer)
4153 {
4154   Mat_SeqAIJ     *a;
4155   PetscErrorCode ierr;
4156   PetscInt       i,sum,nz,header[4],*rowlengths = 0,M,N,rows,cols;
4157   int            fd;
4158   PetscMPIInt    size;
4159   MPI_Comm       comm;
4160   PetscInt       bs = newMat->rmap->bs;
4161 
4162   PetscFunctionBegin;
4163   /* force binary viewer to load .info file if it has not yet done so */
4164   ierr = PetscViewerSetUp(viewer);CHKERRQ(ierr);
4165   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
4166   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
4167   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"view must have one processor");
4168 
4169   ierr = PetscOptionsBegin(comm,NULL,"Options for loading SEQAIJ matrix","Mat");CHKERRQ(ierr);
4170   ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,NULL);CHKERRQ(ierr);
4171   ierr = PetscOptionsEnd();CHKERRQ(ierr);
4172   if (bs < 0) bs = 1;
4173   ierr = MatSetBlockSize(newMat,bs);CHKERRQ(ierr);
4174 
4175   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
4176   ierr = PetscBinaryRead(fd,header,4,PETSC_INT);CHKERRQ(ierr);
4177   if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object in file");
4178   M = header[1]; N = header[2]; nz = header[3];
4179 
4180   if (nz < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format on disk,cannot load as SeqAIJ");
4181 
4182   /* read in row lengths */
4183   ierr = PetscMalloc1(M,&rowlengths);CHKERRQ(ierr);
4184   ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
4185 
4186   /* check if sum of rowlengths is same as nz */
4187   for (i=0,sum=0; i< M; i++) sum +=rowlengths[i];
4188   if (sum != nz) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_FILE_READ,"Inconsistant matrix data in file. no-nonzeros = %dD, sum-row-lengths = %D\n",nz,sum);
4189 
4190   /* set global size if not set already*/
4191   if (newMat->rmap->n < 0 && newMat->rmap->N < 0 && newMat->cmap->n < 0 && newMat->cmap->N < 0) {
4192     ierr = MatSetSizes(newMat,PETSC_DECIDE,PETSC_DECIDE,M,N);CHKERRQ(ierr);
4193   } else {
4194     /* if sizes and type are already set, check if the matrix  global sizes are correct */
4195     ierr = MatGetSize(newMat,&rows,&cols);CHKERRQ(ierr);
4196     if (rows < 0 && cols < 0) { /* user might provide local size instead of global size */
4197       ierr = MatGetLocalSize(newMat,&rows,&cols);CHKERRQ(ierr);
4198     }
4199     if (M != rows ||  N != cols) SETERRQ4(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED, "Matrix in file of different length (%D, %D) than the input matrix (%D, %D)",M,N,rows,cols);
4200   }
4201   ierr = MatSeqAIJSetPreallocation_SeqAIJ(newMat,0,rowlengths);CHKERRQ(ierr);
4202   a    = (Mat_SeqAIJ*)newMat->data;
4203 
4204   ierr = PetscBinaryRead(fd,a->j,nz,PETSC_INT);CHKERRQ(ierr);
4205 
4206   /* read in nonzero values */
4207   ierr = PetscBinaryRead(fd,a->a,nz,PETSC_SCALAR);CHKERRQ(ierr);
4208 
4209   /* set matrix "i" values */
4210   a->i[0] = 0;
4211   for (i=1; i<= M; i++) {
4212     a->i[i]      = a->i[i-1] + rowlengths[i-1];
4213     a->ilen[i-1] = rowlengths[i-1];
4214   }
4215   ierr = PetscFree(rowlengths);CHKERRQ(ierr);
4216 
4217   ierr = MatAssemblyBegin(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4218   ierr = MatAssemblyEnd(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4219   PetscFunctionReturn(0);
4220 }
4221 
4222 PetscErrorCode MatEqual_SeqAIJ(Mat A,Mat B,PetscBool * flg)
4223 {
4224   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data,*b = (Mat_SeqAIJ*)B->data;
4225   PetscErrorCode ierr;
4226 #if defined(PETSC_USE_COMPLEX)
4227   PetscInt k;
4228 #endif
4229 
4230   PetscFunctionBegin;
4231   /* If the  matrix dimensions are not equal,or no of nonzeros */
4232   if ((A->rmap->n != B->rmap->n) || (A->cmap->n != B->cmap->n) ||(a->nz != b->nz)) {
4233     *flg = PETSC_FALSE;
4234     PetscFunctionReturn(0);
4235   }
4236 
4237   /* if the a->i are the same */
4238   ierr = PetscMemcmp(a->i,b->i,(A->rmap->n+1)*sizeof(PetscInt),flg);CHKERRQ(ierr);
4239   if (!*flg) PetscFunctionReturn(0);
4240 
4241   /* if a->j are the same */
4242   ierr = PetscMemcmp(a->j,b->j,(a->nz)*sizeof(PetscInt),flg);CHKERRQ(ierr);
4243   if (!*flg) PetscFunctionReturn(0);
4244 
4245   /* if a->a are the same */
4246 #if defined(PETSC_USE_COMPLEX)
4247   for (k=0; k<a->nz; k++) {
4248     if (PetscRealPart(a->a[k]) != PetscRealPart(b->a[k]) || PetscImaginaryPart(a->a[k]) != PetscImaginaryPart(b->a[k])) {
4249       *flg = PETSC_FALSE;
4250       PetscFunctionReturn(0);
4251     }
4252   }
4253 #else
4254   ierr = PetscMemcmp(a->a,b->a,(a->nz)*sizeof(PetscScalar),flg);CHKERRQ(ierr);
4255 #endif
4256   PetscFunctionReturn(0);
4257 }
4258 
4259 /*@
4260      MatCreateSeqAIJWithArrays - Creates an sequential AIJ matrix using matrix elements (in CSR format)
4261               provided by the user.
4262 
4263       Collective on MPI_Comm
4264 
4265    Input Parameters:
4266 +   comm - must be an MPI communicator of size 1
4267 .   m - number of rows
4268 .   n - number of columns
4269 .   i - row indices
4270 .   j - column indices
4271 -   a - matrix values
4272 
4273    Output Parameter:
4274 .   mat - the matrix
4275 
4276    Level: intermediate
4277 
4278    Notes:
4279        The i, j, and a arrays are not copied by this routine, the user must free these arrays
4280     once the matrix is destroyed and not before
4281 
4282        You cannot set new nonzero locations into this matrix, that will generate an error.
4283 
4284        The i and j indices are 0 based
4285 
4286        The format which is used for the sparse matrix input, is equivalent to a
4287     row-major ordering.. i.e for the following matrix, the input data expected is
4288     as shown
4289 
4290 $        1 0 0
4291 $        2 0 3
4292 $        4 5 6
4293 $
4294 $        i =  {0,1,3,6}  [size = nrow+1  = 3+1]
4295 $        j =  {0,0,2,0,1,2}  [size = 6]; values must be sorted for each row
4296 $        v =  {1,2,3,4,5,6}  [size = 6]
4297 
4298 
4299 .seealso: MatCreate(), MatCreateAIJ(), MatCreateSeqAIJ(), MatCreateMPIAIJWithArrays(), MatMPIAIJSetPreallocationCSR()
4300 
4301 @*/
4302 PetscErrorCode  MatCreateSeqAIJWithArrays(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt i[],PetscInt j[],PetscScalar a[],Mat *mat)
4303 {
4304   PetscErrorCode ierr;
4305   PetscInt       ii;
4306   Mat_SeqAIJ     *aij;
4307 #if defined(PETSC_USE_DEBUG)
4308   PetscInt jj;
4309 #endif
4310 
4311   PetscFunctionBegin;
4312   if (m > 0 && i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
4313   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4314   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
4315   /* ierr = MatSetBlockSizes(*mat,,);CHKERRQ(ierr); */
4316   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
4317   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*mat,MAT_SKIP_ALLOCATION,0);CHKERRQ(ierr);
4318   aij  = (Mat_SeqAIJ*)(*mat)->data;
4319   ierr = PetscMalloc2(m,&aij->imax,m,&aij->ilen);CHKERRQ(ierr);
4320 
4321   aij->i            = i;
4322   aij->j            = j;
4323   aij->a            = a;
4324   aij->singlemalloc = PETSC_FALSE;
4325   aij->nonew        = -1;             /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
4326   aij->free_a       = PETSC_FALSE;
4327   aij->free_ij      = PETSC_FALSE;
4328 
4329   for (ii=0; ii<m; ii++) {
4330     aij->ilen[ii] = aij->imax[ii] = i[ii+1] - i[ii];
4331 #if defined(PETSC_USE_DEBUG)
4332     if (i[ii+1] - i[ii] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row length in i (row indices) row = %D length = %D",ii,i[ii+1] - i[ii]);
4333     for (jj=i[ii]+1; jj<i[ii+1]; jj++) {
4334       if (j[jj] < j[jj-1]) SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column entry number %D (actual colum %D) in row %D is not sorted",jj-i[ii],j[jj],ii);
4335       if (j[jj] == j[jj]-1) SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column entry number %D (actual colum %D) in row %D is identical to previous entry",jj-i[ii],j[jj],ii);
4336     }
4337 #endif
4338   }
4339 #if defined(PETSC_USE_DEBUG)
4340   for (ii=0; ii<aij->i[m]; ii++) {
4341     if (j[ii] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column index at location = %D index = %D",ii,j[ii]);
4342     if (j[ii] > n - 1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column index to large at location = %D index = %D",ii,j[ii]);
4343   }
4344 #endif
4345 
4346   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4347   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4348   PetscFunctionReturn(0);
4349 }
4350 /*@C
4351      MatCreateSeqAIJFromTriple - Creates an sequential AIJ matrix using matrix elements (in COO format)
4352               provided by the user.
4353 
4354       Collective on MPI_Comm
4355 
4356    Input Parameters:
4357 +   comm - must be an MPI communicator of size 1
4358 .   m   - number of rows
4359 .   n   - number of columns
4360 .   i   - row indices
4361 .   j   - column indices
4362 .   a   - matrix values
4363 .   nz  - number of nonzeros
4364 -   idx - 0 or 1 based
4365 
4366    Output Parameter:
4367 .   mat - the matrix
4368 
4369    Level: intermediate
4370 
4371    Notes:
4372        The i and j indices are 0 based
4373 
4374        The format which is used for the sparse matrix input, is equivalent to a
4375     row-major ordering.. i.e for the following matrix, the input data expected is
4376     as shown:
4377 
4378         1 0 0
4379         2 0 3
4380         4 5 6
4381 
4382         i =  {0,1,1,2,2,2}
4383         j =  {0,0,2,0,1,2}
4384         v =  {1,2,3,4,5,6}
4385 
4386 
4387 .seealso: MatCreate(), MatCreateAIJ(), MatCreateSeqAIJ(), MatCreateSeqAIJWithArrays(), MatMPIAIJSetPreallocationCSR()
4388 
4389 @*/
4390 PetscErrorCode  MatCreateSeqAIJFromTriple(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt i[],PetscInt j[],PetscScalar a[],Mat *mat,PetscInt nz,PetscBool idx)
4391 {
4392   PetscErrorCode ierr;
4393   PetscInt       ii, *nnz, one = 1,row,col;
4394 
4395 
4396   PetscFunctionBegin;
4397   ierr = PetscCalloc1(m,&nnz);CHKERRQ(ierr);
4398   for (ii = 0; ii < nz; ii++) {
4399     nnz[i[ii] - !!idx] += 1;
4400   }
4401   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4402   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
4403   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
4404   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*mat,0,nnz);CHKERRQ(ierr);
4405   for (ii = 0; ii < nz; ii++) {
4406     if (idx) {
4407       row = i[ii] - 1;
4408       col = j[ii] - 1;
4409     } else {
4410       row = i[ii];
4411       col = j[ii];
4412     }
4413     ierr = MatSetValues(*mat,one,&row,one,&col,&a[ii],ADD_VALUES);CHKERRQ(ierr);
4414   }
4415   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4416   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4417   ierr = PetscFree(nnz);CHKERRQ(ierr);
4418   PetscFunctionReturn(0);
4419 }
4420 
4421 PetscErrorCode MatSeqAIJInvalidateDiagonal(Mat A)
4422 {
4423   Mat_SeqAIJ     *a=(Mat_SeqAIJ*)A->data;
4424   PetscErrorCode ierr;
4425 
4426   PetscFunctionBegin;
4427   a->idiagvalid  = PETSC_FALSE;
4428   a->ibdiagvalid = PETSC_FALSE;
4429 
4430   ierr = MatSeqAIJInvalidateDiagonal_Inode(A);CHKERRQ(ierr);
4431   PetscFunctionReturn(0);
4432 }
4433 
4434 PetscErrorCode MatCreateMPIMatConcatenateSeqMat_SeqAIJ(MPI_Comm comm,Mat inmat,PetscInt n,MatReuse scall,Mat *outmat)
4435 {
4436   PetscErrorCode ierr;
4437   PetscMPIInt    size;
4438 
4439   PetscFunctionBegin;
4440   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
4441   if (size == 1) {
4442     if (scall == MAT_INITIAL_MATRIX) {
4443       ierr = MatDuplicate(inmat,MAT_COPY_VALUES,outmat);CHKERRQ(ierr);
4444     } else {
4445       ierr = MatCopy(inmat,*outmat,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
4446     }
4447   } else {
4448     ierr = MatCreateMPIMatConcatenateSeqMat_MPIAIJ(comm,inmat,n,scall,outmat);CHKERRQ(ierr);
4449   }
4450   PetscFunctionReturn(0);
4451 }
4452 
4453 /*
4454  Permute A into C's *local* index space using rowemb,colemb.
4455  The embedding are supposed to be injections and the above implies that the range of rowemb is a subset
4456  of [0,m), colemb is in [0,n).
4457  If pattern == DIFFERENT_NONZERO_PATTERN, C is preallocated according to A.
4458  */
4459 PetscErrorCode MatSetSeqMat_SeqAIJ(Mat C,IS rowemb,IS colemb,MatStructure pattern,Mat B)
4460 {
4461   /* If making this function public, change the error returned in this function away from _PLIB. */
4462   PetscErrorCode ierr;
4463   Mat_SeqAIJ     *Baij;
4464   PetscBool      seqaij;
4465   PetscInt       m,n,*nz,i,j,count;
4466   PetscScalar    v;
4467   const PetscInt *rowindices,*colindices;
4468 
4469   PetscFunctionBegin;
4470   if (!B) PetscFunctionReturn(0);
4471   /* Check to make sure the target matrix (and embeddings) are compatible with C and each other. */
4472   ierr = PetscObjectBaseTypeCompare((PetscObject)B,MATSEQAIJ,&seqaij);CHKERRQ(ierr);
4473   if (!seqaij) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Input matrix is of wrong type");
4474   if (rowemb) {
4475     ierr = ISGetLocalSize(rowemb,&m);CHKERRQ(ierr);
4476     if (m != B->rmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Row IS of size %D is incompatible with matrix row size %D",m,B->rmap->n);
4477   } else {
4478     if (C->rmap->n != B->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Input matrix is row-incompatible with the target matrix");
4479   }
4480   if (colemb) {
4481     ierr = ISGetLocalSize(colemb,&n);CHKERRQ(ierr);
4482     if (n != B->cmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Diag col IS of size %D is incompatible with input matrix col size %D",n,B->cmap->n);
4483   } else {
4484     if (C->cmap->n != B->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Input matrix is col-incompatible with the target matrix");
4485   }
4486 
4487   Baij = (Mat_SeqAIJ*)(B->data);
4488   if (pattern == DIFFERENT_NONZERO_PATTERN) {
4489     ierr = PetscMalloc1(B->rmap->n,&nz);CHKERRQ(ierr);
4490     for (i=0; i<B->rmap->n; i++) {
4491       nz[i] = Baij->i[i+1] - Baij->i[i];
4492     }
4493     ierr = MatSeqAIJSetPreallocation(C,0,nz);CHKERRQ(ierr);
4494     ierr = PetscFree(nz);CHKERRQ(ierr);
4495   }
4496   if (pattern == SUBSET_NONZERO_PATTERN) {
4497     ierr = MatZeroEntries(C);CHKERRQ(ierr);
4498   }
4499   count = 0;
4500   rowindices = NULL;
4501   colindices = NULL;
4502   if (rowemb) {
4503     ierr = ISGetIndices(rowemb,&rowindices);CHKERRQ(ierr);
4504   }
4505   if (colemb) {
4506     ierr = ISGetIndices(colemb,&colindices);CHKERRQ(ierr);
4507   }
4508   for (i=0; i<B->rmap->n; i++) {
4509     PetscInt row;
4510     row = i;
4511     if (rowindices) row = rowindices[i];
4512     for (j=Baij->i[i]; j<Baij->i[i+1]; j++) {
4513       PetscInt col;
4514       col  = Baij->j[count];
4515       if (colindices) col = colindices[col];
4516       v    = Baij->a[count];
4517       ierr = MatSetValues(C,1,&row,1,&col,&v,INSERT_VALUES);CHKERRQ(ierr);
4518       ++count;
4519     }
4520   }
4521   /* FIXME: set C's nonzerostate correctly. */
4522   /* Assembly for C is necessary. */
4523   C->preallocated = PETSC_TRUE;
4524   C->assembled     = PETSC_TRUE;
4525   C->was_assembled = PETSC_FALSE;
4526   PetscFunctionReturn(0);
4527 }
4528 
4529 PetscFunctionList MatSeqAIJList = NULL;
4530 
4531 /*@C
4532    MatSeqAIJSetType - Converts a MATSEQAIJ matrix to a subtype
4533 
4534    Collective on Mat
4535 
4536    Input Parameters:
4537 +  mat      - the matrix object
4538 -  matype   - matrix type
4539 
4540    Options Database Key:
4541 .  -mat_seqai_type  <method> - for example seqaijcrl
4542 
4543 
4544   Level: intermediate
4545 
4546 .keywords: Mat, MatType, set, method
4547 
4548 .seealso: PCSetType(), VecSetType(), MatCreate(), MatType, Mat
4549 @*/
4550 PetscErrorCode  MatSeqAIJSetType(Mat mat, MatType matype)
4551 {
4552   PetscErrorCode ierr,(*r)(Mat,const MatType,MatReuse,Mat*);
4553   PetscBool      sametype;
4554 
4555   PetscFunctionBegin;
4556   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
4557   ierr = PetscObjectTypeCompare((PetscObject)mat,matype,&sametype);CHKERRQ(ierr);
4558   if (sametype) PetscFunctionReturn(0);
4559 
4560   ierr =  PetscFunctionListFind(MatSeqAIJList,matype,&r);CHKERRQ(ierr);
4561   if (!r) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_UNKNOWN_TYPE,"Unknown Mat type given: %s",matype);
4562   ierr = (*r)(mat,matype,MAT_INPLACE_MATRIX,&mat);CHKERRQ(ierr);
4563   PetscFunctionReturn(0);
4564 }
4565 
4566 
4567 /*@C
4568   MatSeqAIJRegister -  - Adds a new sub-matrix type for sequential AIJ matrices
4569 
4570    Not Collective
4571 
4572    Input Parameters:
4573 +  name - name of a new user-defined matrix type, for example MATSEQAIJCRL
4574 -  function - routine to convert to subtype
4575 
4576    Notes:
4577    MatSeqAIJRegister() may be called multiple times to add several user-defined solvers.
4578 
4579 
4580    Then, your matrix can be chosen with the procedural interface at runtime via the option
4581 $     -mat_seqaij_type my_mat
4582 
4583    Level: advanced
4584 
4585 .keywords: Mat, register
4586 
4587 .seealso: MatSeqAIJRegisterAll()
4588 
4589 
4590   Level: advanced
4591 @*/
4592 PetscErrorCode  MatSeqAIJRegister(const char sname[],PetscErrorCode (*function)(Mat,const MatType,MatReuse,Mat *))
4593 {
4594   PetscErrorCode ierr;
4595 
4596   PetscFunctionBegin;
4597   ierr = PetscFunctionListAdd(&MatSeqAIJList,sname,function);CHKERRQ(ierr);
4598   PetscFunctionReturn(0);
4599 }
4600 
4601 PetscBool MatSeqAIJRegisterAllCalled = PETSC_FALSE;
4602 
4603 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqAIJCRL(Mat,const MatType,MatReuse,Mat*);
4604 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqAIJPERM(Mat,const MatType,MatReuse,Mat*);
4605 #if defined(PETSC_HAVE_VIENNACL) && defined(PETSC_HAVE_VIENNACL_NO_CUDA)
4606 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqAIJViennaCL(Mat,const MatType,MatReuse,Mat*);
4607 #endif
4608 
4609 /*@C
4610   MatSeqAIJRegisterAll - Registers all of the matrix subtypes of SeqAIJ
4611 
4612   Not Collective
4613 
4614   Level: advanced
4615 
4616   Developers Note: CUSP and CUSPARSE do not yet support the  MatConvert_SeqAIJ..() paradigm and thus cannot be registered here
4617 
4618 .keywords: KSP, register, all
4619 
4620 .seealso:  MatRegisterAll(), MatSeqAIJRegister()
4621 @*/
4622 PetscErrorCode  MatSeqAIJRegisterAll(void)
4623 {
4624   PetscErrorCode ierr;
4625 
4626   PetscFunctionBegin;
4627   if (MatSeqAIJRegisterAllCalled) PetscFunctionReturn(0);
4628   MatSeqAIJRegisterAllCalled = PETSC_TRUE;
4629 
4630   ierr = MatSeqAIJRegister(MATSEQAIJCRL,      MatConvert_SeqAIJ_SeqAIJCRL);CHKERRQ(ierr);
4631   ierr = MatSeqAIJRegister(MATSEQAIJPERM,     MatConvert_SeqAIJ_SeqAIJPERM);CHKERRQ(ierr);
4632 #if defined(PETSC_HAVE_VIENNACL) && defined(PETSC_HAVE_VIENNACL_NO_CUDA)
4633   ierr = MatSeqAIJRegister(MATMPIAIJVIENNACL, MatConvert_SeqAIJ_SeqAIJViennaCL);CHKERRQ(ierr);
4634 #endif
4635   PetscFunctionReturn(0);
4636 }
4637 
4638 /*
4639     Special version for direct calls from Fortran
4640 */
4641 #include <petsc/private/fortranimpl.h>
4642 #if defined(PETSC_HAVE_FORTRAN_CAPS)
4643 #define matsetvaluesseqaij_ MATSETVALUESSEQAIJ
4644 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
4645 #define matsetvaluesseqaij_ matsetvaluesseqaij
4646 #endif
4647 
4648 /* Change these macros so can be used in void function */
4649 #undef CHKERRQ
4650 #define CHKERRQ(ierr) CHKERRABORT(PetscObjectComm((PetscObject)A),ierr)
4651 #undef SETERRQ2
4652 #define SETERRQ2(comm,ierr,b,c,d) CHKERRABORT(comm,ierr)
4653 #undef SETERRQ3
4654 #define SETERRQ3(comm,ierr,b,c,d,e) CHKERRABORT(comm,ierr)
4655 
4656 PETSC_EXTERN void PETSC_STDCALL matsetvaluesseqaij_(Mat *AA,PetscInt *mm,const PetscInt im[],PetscInt *nn,const PetscInt in[],const PetscScalar v[],InsertMode *isis, PetscErrorCode *_ierr)
4657 {
4658   Mat            A  = *AA;
4659   PetscInt       m  = *mm, n = *nn;
4660   InsertMode     is = *isis;
4661   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
4662   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N;
4663   PetscInt       *imax,*ai,*ailen;
4664   PetscErrorCode ierr;
4665   PetscInt       *aj,nonew = a->nonew,lastcol = -1;
4666   MatScalar      *ap,value,*aa;
4667   PetscBool      ignorezeroentries = a->ignorezeroentries;
4668   PetscBool      roworiented       = a->roworiented;
4669 
4670   PetscFunctionBegin;
4671   MatCheckPreallocated(A,1);
4672   imax  = a->imax;
4673   ai    = a->i;
4674   ailen = a->ilen;
4675   aj    = a->j;
4676   aa    = a->a;
4677 
4678   for (k=0; k<m; k++) { /* loop over added rows */
4679     row = im[k];
4680     if (row < 0) continue;
4681 #if defined(PETSC_USE_DEBUG)
4682     if (row >= A->rmap->n) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Row too large");
4683 #endif
4684     rp   = aj + ai[row]; ap = aa + ai[row];
4685     rmax = imax[row]; nrow = ailen[row];
4686     low  = 0;
4687     high = nrow;
4688     for (l=0; l<n; l++) { /* loop over added columns */
4689       if (in[l] < 0) continue;
4690 #if defined(PETSC_USE_DEBUG)
4691       if (in[l] >= A->cmap->n) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Column too large");
4692 #endif
4693       col = in[l];
4694       if (roworiented) value = v[l + k*n];
4695       else value = v[k + l*m];
4696 
4697       if (value == 0.0 && ignorezeroentries && (is == ADD_VALUES)) continue;
4698 
4699       if (col <= lastcol) low = 0;
4700       else high = nrow;
4701       lastcol = col;
4702       while (high-low > 5) {
4703         t = (low+high)/2;
4704         if (rp[t] > col) high = t;
4705         else             low  = t;
4706       }
4707       for (i=low; i<high; i++) {
4708         if (rp[i] > col) break;
4709         if (rp[i] == col) {
4710           if (is == ADD_VALUES) ap[i] += value;
4711           else                  ap[i] = value;
4712           goto noinsert;
4713         }
4714       }
4715       if (value == 0.0 && ignorezeroentries) goto noinsert;
4716       if (nonew == 1) goto noinsert;
4717       if (nonew == -1) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero in the matrix");
4718       MatSeqXAIJReallocateAIJ(A,A->rmap->n,1,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
4719       N = nrow++ - 1; a->nz++; high++;
4720       /* shift up all the later entries in this row */
4721       for (ii=N; ii>=i; ii--) {
4722         rp[ii+1] = rp[ii];
4723         ap[ii+1] = ap[ii];
4724       }
4725       rp[i] = col;
4726       ap[i] = value;
4727       A->nonzerostate++;
4728 noinsert:;
4729       low = i + 1;
4730     }
4731     ailen[row] = nrow;
4732   }
4733   PetscFunctionReturnVoid();
4734 }
4735 
4736